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The Bode magnitude plot of the transfer function $G(s)=\frac{K(1+0.5s)(1+as)}{s(1+\frac{s}{8})(1+bs)(1+\frac{s}{36})}$ 
is shown below:
Note that $-6$ $dB$/$octave$ = $‒20$ $dB$/$decade$. The value of $\frac{a}{bK}$ is ______.


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