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Finding the Fourth Proportional to 6,882.92, 9,498.40 and 3,898.46

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Solution

The fourth proportional to 6,882.92, 9,498.40 and 3,898.46 is: 5,379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.92 : 9,498.40 = 3,898.46 : x
  2. Step 2: Convert to fraction form
    6,882.92/9,498.40 = 3,898.46/x
  3. Step 3: Cross multiply
    6,882.92x = 9,498.40 × 3,898.46
  4. Step 4: Simplify right side
    6,882.92x = 37,029,075.23
  5. Step 5: Solve for x
    x = 37,029,075.23/6,882.92
  6. Step 6: Final answer
    x = 5,379.85

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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.