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Finding the Fourth Proportional to 8,194.97, 12,292.52 and 3,265.86

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Solution

The fourth proportional to 8,194.97, 12,292.52 and 3,265.86 is: 4,898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.97 : 12,292.52 = 3,265.86 : x
  2. Step 2: Convert to fraction form
    8,194.97/12,292.52 = 3,265.86/x
  3. Step 3: Cross multiply
    8,194.97x = 12,292.52 × 3,265.86
  4. Step 4: Simplify right side
    8,194.97x = 40,145,633.04
  5. Step 5: Solve for x
    x = 40,145,633.04/8,194.97
  6. Step 6: Final answer
    x = 4,898.82

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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.