\[\boxed{\mathbf{4.}\mathbf{158}}\]
\[\textbf{а)}\ | - 9| + | - 5| = 9 + 5 = 14\]
\[\textbf{б)}\ | - 4,5| + | - 3,7| = 4,5 + 3,7 =\]
\[= 8,2\]
\[\textbf{в)}\ \left| - \frac{5}{11} \right| + \left| - \frac{7}{11} \right| = \frac{5}{11} + \frac{7}{11} =\]
\[= \frac{12}{11} = 1\frac{1}{11}\]
\[\textbf{г)}\ \left| - 1\frac{5}{9} \right| + \left| - 2\frac{5}{18} \right| =\]
\[= 1\frac{5}{9} + 2\frac{5}{18} = 1\frac{10}{18} + 2\frac{5}{18} =\]
\[= 3\frac{15}{18} = 3\frac{5}{6}\]