Here's how I solved the issue.
Kindle Fire (KF) would connect to the local wireless network, but not access the Internet.
Other wireless devices (iphone 4, blackberry, itouch, laptops, etc) would connect to the local area network and get out to the Internet/Web. The KF had no Internet access.
I read many of the posts in the KF support forum and tried the following suggestions, none of which resolved the Internet connectivity problem:
The one thing that worked was stepping down the mode on the wireless router. The screenshot below shows the functional settings on the Netgear WNR2000 router that solved the problem.
The drop down menu choices are up to 54Mbps, 145Mbps, and up to 300Mbps. The only mode that works is the "up to 54Mbps" choice, which allows the router to use the 802.11g IEEE standard.
The Kindle Fire now connects to the Internet and I can browse websites, the Kindle store, etc. The downside is that I may see a decrease in connectivity speeds with other wireless devices that support the 802.11n standard. I will be watching for an degradation in performance.
Perhaps Amazon can include 802.11n and/or 802.11a/c support for faster connectivity in their next firmware update.