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Finding the Fourth Proportional to 7,132, 9,841.96 and 3,988.20

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Solution

The fourth proportional to 7,132, 9,841.96 and 3,988.20 is: 5,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132 : 9,841.96 = 3,988.20 : x
  2. Step 2: Convert to fraction form
    7,132/9,841.96 = 3,988.20/x
  3. Step 3: Cross multiply
    7,132x = 9,841.96 × 3,988.20
  4. Step 4: Simplify right side
    7,132x = 39,251,704.87
  5. Step 5: Solve for x
    x = 39,251,704.87/7,132
  6. Step 6: Final answer
    x = 5,503.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.