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Finding the Fourth Proportional to 8,832.92, 12,189.17 and 4,854.02

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Solution

The fourth proportional to 8,832.92, 12,189.17 and 4,854.02 is: 6,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.92 : 12,189.17 = 4,854.02 : x
  2. Step 2: Convert to fraction form
    8,832.92/12,189.17 = 4,854.02/x
  3. Step 3: Cross multiply
    8,832.92x = 12,189.17 × 4,854.02
  4. Step 4: Simplify right side
    8,832.92x = 59,166,517.57
  5. Step 5: Solve for x
    x = 59,166,517.57/8,832.92
  6. Step 6: Final answer
    x = 6,698.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.