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Finding the Fourth Proportional to 6,474.17, 9,711.18 and 1,857.17

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Solution

The fourth proportional to 6,474.17, 9,711.18 and 1,857.17 is: 2,785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.17 : 9,711.18 = 1,857.17 : x
  2. Step 2: Convert to fraction form
    6,474.17/9,711.18 = 1,857.17/x
  3. Step 3: Cross multiply
    6,474.17x = 9,711.18 × 1,857.17
  4. Step 4: Simplify right side
    6,474.17x = 18,035,302.87
  5. Step 5: Solve for x
    x = 18,035,302.87/6,474.17
  6. Step 6: Final answer
    x = 2,785.73

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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.