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Finding the Fourth Proportional to 6,687.31, 9,232.97 and 4,170.44

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Solution

The fourth proportional to 6,687.31, 9,232.97 and 4,170.44 is: 5,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.31 : 9,232.97 = 4,170.44 : x
  2. Step 2: Convert to fraction form
    6,687.31/9,232.97 = 4,170.44/x
  3. Step 3: Cross multiply
    6,687.31x = 9,232.97 × 4,170.44
  4. Step 4: Simplify right side
    6,687.31x = 38,505,480.39
  5. Step 5: Solve for x
    x = 38,505,480.39/6,687.31
  6. Step 6: Final answer
    x = 5,758.00

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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.