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Finding the Fourth Proportional to 9,839.28, 14,765 and 5,687.52

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Solution

The fourth proportional to 9,839.28, 14,765 and 5,687.52 is: 8,534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.28 : 14,765 = 5,687.52 : x
  2. Step 2: Convert to fraction form
    9,839.28/14,765 = 5,687.52/x
  3. Step 3: Cross multiply
    9,839.28x = 14,765 × 5,687.52
  4. Step 4: Simplify right side
    9,839.28x = 83,976,232.80
  5. Step 5: Solve for x
    x = 83,976,232.80/9,839.28
  6. Step 6: Final answer
    x = 8,534.79

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