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Finding the Fourth Proportional to 9,078.87, 13,614.80 and 3,531.47

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Solution

The fourth proportional to 9,078.87, 13,614.80 and 3,531.47 is: 5,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.87 : 13,614.80 = 3,531.47 : x
  2. Step 2: Convert to fraction form
    9,078.87/13,614.80 = 3,531.47/x
  3. Step 3: Cross multiply
    9,078.87x = 13,614.80 × 3,531.47
  4. Step 4: Simplify right side
    9,078.87x = 48,080,172.02
  5. Step 5: Solve for x
    x = 48,080,172.02/9,078.87
  6. Step 6: Final answer
    x = 5,295.83

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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.