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Finding the Fourth Proportional to 8,942.76, 12,340.96 and 5,165.87

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Solution

The fourth proportional to 8,942.76, 12,340.96 and 5,165.87 is: 7,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.76 : 12,340.96 = 5,165.87 : x
  2. Step 2: Convert to fraction form
    8,942.76/12,340.96 = 5,165.87/x
  3. Step 3: Cross multiply
    8,942.76x = 12,340.96 × 5,165.87
  4. Step 4: Simplify right side
    8,942.76x = 63,751,720.42
  5. Step 5: Solve for x
    x = 63,751,720.42/8,942.76
  6. Step 6: Final answer
    x = 7,128.86

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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.