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Finding the Fourth Proportional to 9,711.24, 13,401.52 and 5,519.52

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Solution

The fourth proportional to 9,711.24, 13,401.52 and 5,519.52 is: 7,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.24 : 13,401.52 = 5,519.52 : x
  2. Step 2: Convert to fraction form
    9,711.24/13,401.52 = 5,519.52/x
  3. Step 3: Cross multiply
    9,711.24x = 13,401.52 × 5,519.52
  4. Step 4: Simplify right side
    9,711.24x = 73,969,957.67
  5. Step 5: Solve for x
    x = 73,969,957.67/9,711.24
  6. Step 6: Final answer
    x = 7,616.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.