Kitchen Sink

My stainless steel under-mount kitchen sink has separated from the granite counter top. There is now a gap (approximately 3/8-inch) between the sink and the granite. Can I simply re-caulk the surfaces and shim the sink up from the bottom to re-create the seal? Or do I need to totally remove the sink (drain and disposal) to re-install?

Thanks,
Bill
I should add that the sink was originally installed approx 10 years ago. Is there a life expectancy for this type of thing?

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