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Finding the Fourth Proportional to 8,634.09, 12,951.14 and 3,443.61

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Solution

The fourth proportional to 8,634.09, 12,951.14 and 3,443.61 is: 5,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.09 : 12,951.14 = 3,443.61 : x
  2. Step 2: Convert to fraction form
    8,634.09/12,951.14 = 3,443.61/x
  3. Step 3: Cross multiply
    8,634.09x = 12,951.14 × 3,443.61
  4. Step 4: Simplify right side
    8,634.09x = 44,598,725.93
  5. Step 5: Solve for x
    x = 44,598,725.93/8,634.09
  6. Step 6: Final answer
    x = 5,165.42

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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.