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Finding the Fourth Proportional to 6,731.96, 9,290.16 and 3,747.78

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Solution

The fourth proportional to 6,731.96, 9,290.16 and 3,747.78 is: 5,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.96 : 9,290.16 = 3,747.78 : x
  2. Step 2: Convert to fraction form
    6,731.96/9,290.16 = 3,747.78/x
  3. Step 3: Cross multiply
    6,731.96x = 9,290.16 × 3,747.78
  4. Step 4: Simplify right side
    6,731.96x = 34,817,475.84
  5. Step 5: Solve for x
    x = 34,817,475.84/6,731.96
  6. Step 6: Final answer
    x = 5,171.97

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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.