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Finding the Fourth Proportional to 6,731.12, 9,287.82 and 3,746.87

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Solution

The fourth proportional to 6,731.12, 9,287.82 and 3,746.87 is: 5,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.12 : 9,287.82 = 3,746.87 : x
  2. Step 2: Convert to fraction form
    6,731.12/9,287.82 = 3,746.87/x
  3. Step 3: Cross multiply
    6,731.12x = 9,287.82 × 3,746.87
  4. Step 4: Simplify right side
    6,731.12x = 34,800,207.68
  5. Step 5: Solve for x
    x = 34,800,207.68/6,731.12
  6. Step 6: Final answer
    x = 5,170.05

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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.