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Finding the Fourth Proportional to 8,694.59, 13,042.38 and 2,454.14

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Solution

The fourth proportional to 8,694.59, 13,042.38 and 2,454.14 is: 3,681.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.59 : 13,042.38 = 2,454.14 : x
  2. Step 2: Convert to fraction form
    8,694.59/13,042.38 = 2,454.14/x
  3. Step 3: Cross multiply
    8,694.59x = 13,042.38 × 2,454.14
  4. Step 4: Simplify right side
    8,694.59x = 32,007,868.26
  5. Step 5: Solve for x
    x = 32,007,868.26/8,694.59
  6. Step 6: Final answer
    x = 3,681.36

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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.