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Finding the Fourth Proportional to 6,142.02, 9,213.02 and 4,061.53

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Solution

The fourth proportional to 6,142.02, 9,213.02 and 4,061.53 is: 6,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.02 : 9,213.02 = 4,061.53 : x
  2. Step 2: Convert to fraction form
    6,142.02/9,213.02 = 4,061.53/x
  3. Step 3: Cross multiply
    6,142.02x = 9,213.02 × 4,061.53
  4. Step 4: Simplify right side
    6,142.02x = 37,418,957.12
  5. Step 5: Solve for x
    x = 37,418,957.12/6,142.02
  6. Step 6: Final answer
    x = 6,092.29

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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.