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Finding the Fourth Proportional to 9,291.53, 13,930.34 and 5,592.89

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Solution

The fourth proportional to 9,291.53, 13,930.34 and 5,592.89 is: 8,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.53 : 13,930.34 = 5,592.89 : x
  2. Step 2: Convert to fraction form
    9,291.53/13,930.34 = 5,592.89/x
  3. Step 3: Cross multiply
    9,291.53x = 13,930.34 × 5,592.89
  4. Step 4: Simplify right side
    9,291.53x = 77,910,761.67
  5. Step 5: Solve for x
    x = 77,910,761.67/9,291.53
  6. Step 6: Final answer
    x = 8,385.14

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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.