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Finding the Fourth Proportional to 8,421.69, 12,627.13 and 3,494.73

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Solution

The fourth proportional to 8,421.69, 12,627.13 and 3,494.73 is: 5,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.69 : 12,627.13 = 3,494.73 : x
  2. Step 2: Convert to fraction form
    8,421.69/12,627.13 = 3,494.73/x
  3. Step 3: Cross multiply
    8,421.69x = 12,627.13 × 3,494.73
  4. Step 4: Simplify right side
    8,421.69x = 44,128,382.83
  5. Step 5: Solve for x
    x = 44,128,382.83/8,421.69
  6. Step 6: Final answer
    x = 5,239.85

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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.