It normally isn't possible. When chatting you have a connection with the other computer only through the host site (Yahoo). Only they will have the IP address and they will not tell you. Even if you obtained the IP you could do next to nothing with it. You cannot trace it back to obtain personal information such as a physical address about the chat partner. You must also understand that your chat partner may not be using their own Internet connection. In such a case tracing is virtually impossible.
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