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Finding the Fourth Proportional to 6,731.64, 9,289.44 and 3,747.60

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Solution

The fourth proportional to 6,731.64, 9,289.44 and 3,747.60 is: 5,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.64 : 9,289.44 = 3,747.60 : x
  2. Step 2: Convert to fraction form
    6,731.64/9,289.44 = 3,747.60/x
  3. Step 3: Cross multiply
    6,731.64x = 9,289.44 × 3,747.60
  4. Step 4: Simplify right side
    6,731.64x = 34,813,105.34
  5. Step 5: Solve for x
    x = 34,813,105.34/6,731.64
  6. Step 6: Final answer
    x = 5,171.56

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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.