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Finding the Fourth Proportional to 9,716.77, 14,582.92 and 5,038.11

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Solution

The fourth proportional to 9,716.77, 14,582.92 and 5,038.11 is: 7,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.77 : 14,582.92 = 5,038.11 : x
  2. Step 2: Convert to fraction form
    9,716.77/14,582.92 = 5,038.11/x
  3. Step 3: Cross multiply
    9,716.77x = 14,582.92 × 5,038.11
  4. Step 4: Simplify right side
    9,716.77x = 73,470,355.08
  5. Step 5: Solve for x
    x = 73,470,355.08/9,716.77
  6. Step 6: Final answer
    x = 7,561.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.