Find the value of $\lambda,$ if four points with position vectors $3\hat{i}+6\hat{j}+9\hat{k}, \hat{i}+2\hat{j}+3\hat{k}, 2\hat{i}+3\hat{j}+\hat{k}$ and $4\hat{i} + 6\hat{j} + \lambda \hat{k}$ are coplanar.

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