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I also have a newer cobra and get the same sound, it used to drive me crazy. I have found it to be the quality of the road surface;almost anything other then newly paved blacktop kicks up sand, gravel, leaves and any other debris and it resonates loudly through the rear fender wells into the car.
I first realized this when doing a small burnout on an aged paved road, and I thought someone was shooting bullets at me for doing it. I think a rubberized undercoating in the fender wells would go a long way in solving this problem, although I haven't done it yet myself.
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