Is the answer 5?

Geometry Level 3

In \(\Delta ABC\) ,\(AD , BE , CF\) are concurrent such that \(D,E,F\) are points on \(BC,AC,AB\) respectively.

If \(CE=1\) ,\(CD=2\) ,\(BD=3\) ,\(AF=4\) ,\(AE=6\) ,then what is the length of \(BF\)?

Note: Figure not to scale.

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