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Finding the Fourth Proportional to 8,469.60, 12,694.65 and 4,565.82

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Solution

The fourth proportional to 8,469.60, 12,694.65 and 4,565.82 is: 6,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.60 : 12,694.65 = 4,565.82 : x
  2. Step 2: Convert to fraction form
    8,469.60/12,694.65 = 4,565.82/x
  3. Step 3: Cross multiply
    8,469.60x = 12,694.65 × 4,565.82
  4. Step 4: Simplify right side
    8,469.60x = 57,961,486.86
  5. Step 5: Solve for x
    x = 57,961,486.86/8,469.60
  6. Step 6: Final answer
    x = 6,843.47

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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.