So which one is it?

Algebra Level 4

\[\frac{ab}{a^{2}+3b^{2}}+\frac{cb}{b^{2}+3c^{2}}+\frac{ac}{c^{2}+3a^{2}}\]

If the maximum value of the above inequality is \(M\) for positive numbers \(a,b,c\). What is the value of \(4M + 4 \)?

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