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Finding the Fourth Proportional to 9,540.72, 14,316.17 and 7,184.52

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Solution

The fourth proportional to 9,540.72, 14,316.17 and 7,184.52 is: 10,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.72 : 14,316.17 = 7,184.52 : x
  2. Step 2: Convert to fraction form
    9,540.72/14,316.17 = 7,184.52/x
  3. Step 3: Cross multiply
    9,540.72x = 14,316.17 × 7,184.52
  4. Step 4: Simplify right side
    9,540.72x = 102,854,773.77
  5. Step 5: Solve for x
    x = 102,854,773.77/9,540.72
  6. Step 6: Final answer
    x = 10,780.61

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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.