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Vette - I'm afraid that the answer to my backfire problem is going to be a long time coming! Checked gas level in carburator bowl and it seemed to be proper. Plugs had a slight bit of carbon on one side of the electrode - they all looked the same. I noticed some wear in the throttle rod into the carbs. May be air invasion there. Waiting for Keoke to explain the WD40/Propane test to me. Since my 3000 has a Servo on it and it is supplied vacuum from the intake between 5&6 cylinders that it is causing the backfire?
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There are only a few things that can cause the rear carb to run lean, which is what is happening according to the descriptions. Assuming that you have eliminated low float level, restricted fuel supply, plugged passage between float bowl & main jet, Jet needle loose (not lifting) or set at wrong height.
The only things left are:
carb slide damper not working, see if the slides present equal & noticeable resistance to being quickly raised by hand/finger & the slides are not binding. Return freely to closed with a click or klunk.
Serious carb flange or manifold leak. If the brake booster has a vacuum leak, this is a definite possibility. Check it by disconnecting & plugging the manifold hole or even flattening the hose with vice grips. Any other "mystery hoses" can be done the same way.
A plug missing from the manifold somewhere. Some manifolds have pressed in sheetmetal plugs that can blow out if there is an intake backfire. A missing plug on the back can be hard to see.
Throttle shaft leaks would have to be huge to cause the problem described, which is not likely.
If the engine is lean, an unlit propane torch can be directed to suspected leaks & speed changes observed. (The least messy method) Likewise, carb cleaner, penetrating oil, gasoline, or even water, can be squirted on suspect leaks to observe engine speed changes. Some of these will cause a faster idle, some, a slower idle. You might find more than one problem.
Good luck,
D