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Finding the Fourth Proportional to 6,174.72, 8,517.92 and 4,184.56

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Solution

The fourth proportional to 6,174.72, 8,517.92 and 4,184.56 is: 5,772.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.72 : 8,517.92 = 4,184.56 : x
  2. Step 2: Convert to fraction form
    6,174.72/8,517.92 = 4,184.56/x
  3. Step 3: Cross multiply
    6,174.72x = 8,517.92 × 4,184.56
  4. Step 4: Simplify right side
    6,174.72x = 35,643,747.32
  5. Step 5: Solve for x
    x = 35,643,747.32/6,174.72
  6. Step 6: Final answer
    x = 5,772.53

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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.