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Finding the Fourth Proportional to 6,689.41, 9,232.45 and 4,174.27

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Solution

The fourth proportional to 6,689.41, 9,232.45 and 4,174.27 is: 5,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.41 : 9,232.45 = 4,174.27 : x
  2. Step 2: Convert to fraction form
    6,689.41/9,232.45 = 4,174.27/x
  3. Step 3: Cross multiply
    6,689.41x = 9,232.45 × 4,174.27
  4. Step 4: Simplify right side
    6,689.41x = 38,538,705.54
  5. Step 5: Solve for x
    x = 38,538,705.54/6,689.41
  6. Step 6: Final answer
    x = 5,761.15

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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.