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Finding the Fourth Proportional to 9,537.76, 14,302.68 and 3,691

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Solution

The fourth proportional to 9,537.76, 14,302.68 and 3,691 is: 5,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.76 : 14,302.68 = 3,691 : x
  2. Step 2: Convert to fraction form
    9,537.76/14,302.68 = 3,691/x
  3. Step 3: Cross multiply
    9,537.76x = 14,302.68 × 3,691
  4. Step 4: Simplify right side
    9,537.76x = 52,791,191.88
  5. Step 5: Solve for x
    x = 52,791,191.88/9,537.76
  6. Step 6: Final answer
    x = 5,534.97

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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.