Decimal Recognition: Identifying the Visual Representation of 0.9

To solve this problem, we'll identify the graphical representation of the decimal number $0.9$.

• Step 1: Understand that $0.9$ represents nine-tenths, so $9$ out of $10$ segments should be shaded.
• Step 2: Review the given figures to find which one has nine-tenths of its total area shaded.
• Step 3: Check that this representation corresponds directly to the given decimal value $0.9$.

Now, let's analyze the available choices:
Choice 1 represents the entire area shaded, which corresponds to $1.0$, not $0.9$.
Choice 2 has approximately three-tenths shaded, representing $0.3$, not $0.9$.
Choice 3 shows five-tenths shaded, which is $0.5$, not $0.9$.
Choice 4 displays nine out of ten sections shaded, accurately representing $0.9$.

Therefore, the correct figure is choice 4, which correctly represents the decimal fraction $0.9$.

The solution to the problem is choice 4.