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Finding the Fourth Proportional to 9,010.69, 13,517.40 and 5,314.66

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Solution

The fourth proportional to 9,010.69, 13,517.40 and 5,314.66 is: 7,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,010.69 : 13,517.40 = 5,314.66 : x
  2. Step 2: Convert to fraction form
    9,010.69/13,517.40 = 5,314.66/x
  3. Step 3: Cross multiply
    9,010.69x = 13,517.40 × 5,314.66
  4. Step 4: Simplify right side
    9,010.69x = 71,840,385.08
  5. Step 5: Solve for x
    x = 71,840,385.08/9,010.69
  6. Step 6: Final answer
    x = 7,972.80

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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.