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Finding the Fourth Proportional to 9,909.60, 14,882.92 and 8,724.08

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Solution

The fourth proportional to 9,909.60, 14,882.92 and 8,724.08 is: 13,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.60 : 14,882.92 = 8,724.08 : x
  2. Step 2: Convert to fraction form
    9,909.60/14,882.92 = 8,724.08/x
  3. Step 3: Cross multiply
    9,909.60x = 14,882.92 × 8,724.08
  4. Step 4: Simplify right side
    9,909.60x = 129,839,784.71
  5. Step 5: Solve for x
    x = 129,839,784.71/9,909.60
  6. Step 6: Final answer
    x = 13,102.42

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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.