Sounds like your float valve is due for replacement, it could also be a bad float that has filled with gasoline. Either way the carb needs to be disassembled and inspected. You can go to Kawasaki.com and follow the links to the parts diagrams, select your model, and look at exactly how the carb is put together.
Once the carb is apart, if the float is good (and they usually are), order the float valve kit. The parts can be ordered from the sponsors's website, above. They are inexpensive and very easy for anyone with average skills to install.
Once the carb is apart, if the float is good (and they usually are), order the float valve kit. The parts can be ordered from the sponsors's website, above. They are inexpensive and very easy for anyone with average skills to install.