The ellipse $$E_1 : \frac{x^2}{9} + \frac{y^2}{4} = 1$$ is inscribed in a rectangle R whosesides are parallel to the coordinate axes. Another ellipse $$E_2$$ passing through the point(0, 4) circumscribes the rectangle R. The eccentricity of the ellipse $$E_2$$ is
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