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Finding the Fourth Proportional to 6,174.56, 9,265.20 and 2,711.68

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Solution

The fourth proportional to 6,174.56, 9,265.20 and 2,711.68 is: 4,069.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.56 : 9,265.20 = 2,711.68 : x
  2. Step 2: Convert to fraction form
    6,174.56/9,265.20 = 2,711.68/x
  3. Step 3: Cross multiply
    6,174.56x = 9,265.20 × 2,711.68
  4. Step 4: Simplify right side
    6,174.56x = 25,124,257.54
  5. Step 5: Solve for x
    x = 25,124,257.54/6,174.56
  6. Step 6: Final answer
    x = 4,069.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.