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Finding the Fourth Proportional to 6,882.12, 9,496.84 and 3,898.24

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Solution

The fourth proportional to 6,882.12, 9,496.84 and 3,898.24 is: 5,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.12 : 9,496.84 = 3,898.24 : x
  2. Step 2: Convert to fraction form
    6,882.12/9,496.84 = 3,898.24/x
  3. Step 3: Cross multiply
    6,882.12x = 9,496.84 × 3,898.24
  4. Step 4: Simplify right side
    6,882.12x = 37,020,961.56
  5. Step 5: Solve for x
    x = 37,020,961.56/6,882.12
  6. Step 6: Final answer
    x = 5,379.30

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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.