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Finding the Fourth Proportional to 6,152.17, 9,229.20 and 2,642.17

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Solution

The fourth proportional to 6,152.17, 9,229.20 and 2,642.17 is: 3,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.17 : 9,229.20 = 2,642.17 : x
  2. Step 2: Convert to fraction form
    6,152.17/9,229.20 = 2,642.17/x
  3. Step 3: Cross multiply
    6,152.17x = 9,229.20 × 2,642.17
  4. Step 4: Simplify right side
    6,152.17x = 24,385,115.36
  5. Step 5: Solve for x
    x = 24,385,115.36/6,152.17
  6. Step 6: Final answer
    x = 3,963.66

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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.