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Finding the Fourth Proportional to 9,006.16, 13,518.96 and 7,169.12

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Solution

The fourth proportional to 9,006.16, 13,518.96 and 7,169.12 is: 10,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.16 : 13,518.96 = 7,169.12 : x
  2. Step 2: Convert to fraction form
    9,006.16/13,518.96 = 7,169.12/x
  3. Step 3: Cross multiply
    9,006.16x = 13,518.96 × 7,169.12
  4. Step 4: Simplify right side
    9,006.16x = 96,919,046.52
  5. Step 5: Solve for x
    x = 96,919,046.52/9,006.16
  6. Step 6: Final answer
    x = 10,761.42

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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.