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Finding the Fourth Proportional to 8,694.34, 13,042.26 and 2,454.40

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Solution

The fourth proportional to 8,694.34, 13,042.26 and 2,454.40 is: 3,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.34 : 13,042.26 = 2,454.40 : x
  2. Step 2: Convert to fraction form
    8,694.34/13,042.26 = 2,454.40/x
  3. Step 3: Cross multiply
    8,694.34x = 13,042.26 × 2,454.40
  4. Step 4: Simplify right side
    8,694.34x = 32,010,922.94
  5. Step 5: Solve for x
    x = 32,010,922.94/8,694.34
  6. Step 6: Final answer
    x = 3,681.81

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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.