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Finding the Fourth Proportional to 9,382.62, 14,083.85 and 9,170.86

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Solution

The fourth proportional to 9,382.62, 14,083.85 and 9,170.86 is: 13,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.62 : 14,083.85 = 9,170.86 : x
  2. Step 2: Convert to fraction form
    9,382.62/14,083.85 = 9,170.86/x
  3. Step 3: Cross multiply
    9,382.62x = 14,083.85 × 9,170.86
  4. Step 4: Simplify right side
    9,382.62x = 129,161,016.61
  5. Step 5: Solve for x
    x = 129,161,016.61/9,382.62
  6. Step 6: Final answer
    x = 13,765.99

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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.