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Finding the Fourth Proportional to 6,159.25, 9,238.88 and 2,463.13

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Solution

The fourth proportional to 6,159.25, 9,238.88 and 2,463.13 is: 3,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.25 : 9,238.88 = 2,463.13 : x
  2. Step 2: Convert to fraction form
    6,159.25/9,238.88 = 2,463.13/x
  3. Step 3: Cross multiply
    6,159.25x = 9,238.88 × 2,463.13
  4. Step 4: Simplify right side
    6,159.25x = 22,756,562.49
  5. Step 5: Solve for x
    x = 22,756,562.49/6,159.25
  6. Step 6: Final answer
    x = 3,694.70

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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.