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Finding the Fourth Proportional to 6,731.71, 9,289.74 and 3,747.48

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Solution

The fourth proportional to 6,731.71, 9,289.74 and 3,747.48 is: 5,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.71 : 9,289.74 = 3,747.48 : x
  2. Step 2: Convert to fraction form
    6,731.71/9,289.74 = 3,747.48/x
  3. Step 3: Cross multiply
    6,731.71x = 9,289.74 × 3,747.48
  4. Step 4: Simplify right side
    6,731.71x = 34,813,125.25
  5. Step 5: Solve for x
    x = 34,813,125.25/6,731.71
  6. Step 6: Final answer
    x = 5,171.51

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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.