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Finding the Fourth Proportional to 9,131.92, 12,654.16 and 8,577.04

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Solution

The fourth proportional to 9,131.92, 12,654.16 and 8,577.04 is: 11,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.92 : 12,654.16 = 8,577.04 : x
  2. Step 2: Convert to fraction form
    9,131.92/12,654.16 = 8,577.04/x
  3. Step 3: Cross multiply
    9,131.92x = 12,654.16 × 8,577.04
  4. Step 4: Simplify right side
    9,131.92x = 108,535,236.49
  5. Step 5: Solve for x
    x = 108,535,236.49/9,131.92
  6. Step 6: Final answer
    x = 11,885.26

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.