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Finding the Fourth Proportional to 6,132.72, 9,202.62 and 3,672.30

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Solution

The fourth proportional to 6,132.72, 9,202.62 and 3,672.30 is: 5,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.72 : 9,202.62 = 3,672.30 : x
  2. Step 2: Convert to fraction form
    6,132.72/9,202.62 = 3,672.30/x
  3. Step 3: Cross multiply
    6,132.72x = 9,202.62 × 3,672.30
  4. Step 4: Simplify right side
    6,132.72x = 33,794,781.43
  5. Step 5: Solve for x
    x = 33,794,781.43/6,132.72
  6. Step 6: Final answer
    x = 5,510.57

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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.