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Finding the Fourth Proportional to 6,874.72, 9,487.12 and 3,730.90

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Solution

The fourth proportional to 6,874.72, 9,487.12 and 3,730.90 is: 5,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.72 : 9,487.12 = 3,730.90 : x
  2. Step 2: Convert to fraction form
    6,874.72/9,487.12 = 3,730.90/x
  3. Step 3: Cross multiply
    6,874.72x = 9,487.12 × 3,730.90
  4. Step 4: Simplify right side
    6,874.72x = 35,395,531.82
  5. Step 5: Solve for x
    x = 35,395,531.82/6,874.72
  6. Step 6: Final answer
    x = 5,148.65

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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.