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Finding the Fourth Proportional to 9,387.76, 14,087.04 and 3,542.80

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Solution

The fourth proportional to 9,387.76, 14,087.04 and 3,542.80 is: 5,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.76 : 14,087.04 = 3,542.80 : x
  2. Step 2: Convert to fraction form
    9,387.76/14,087.04 = 3,542.80/x
  3. Step 3: Cross multiply
    9,387.76x = 14,087.04 × 3,542.80
  4. Step 4: Simplify right side
    9,387.76x = 49,907,565.31
  5. Step 5: Solve for x
    x = 49,907,565.31/9,387.76
  6. Step 6: Final answer
    x = 5,316.24

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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.