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Hi, my name is Kerry
Your serial number should be on the transom in the upper right corner just below the rub rail on outside of the hull.
In some cases it's above the rub-rail.
It should be embossed in the gel-coat, it may not be obvious, have a close look.
If it's not there, the hull may have had a repair that wiped it out, let me know if you find it or not.