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Finding the Fourth Proportional to 6,882.27, 9,498.16 and 3,898.23

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Solution

The fourth proportional to 6,882.27, 9,498.16 and 3,898.23 is: 5,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.27 : 9,498.16 = 3,898.23 : x
  2. Step 2: Convert to fraction form
    6,882.27/9,498.16 = 3,898.23/x
  3. Step 3: Cross multiply
    6,882.27x = 9,498.16 × 3,898.23
  4. Step 4: Simplify right side
    6,882.27x = 37,025,964.77
  5. Step 5: Solve for x
    x = 37,025,964.77/6,882.27
  6. Step 6: Final answer
    x = 5,379.91

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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.