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Finding the Fourth Proportional to 6,874.62, 9,484.11 and 4,217.46

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Solution

The fourth proportional to 6,874.62, 9,484.11 and 4,217.46 is: 5,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.62 : 9,484.11 = 4,217.46 : x
  2. Step 2: Convert to fraction form
    6,874.62/9,484.11 = 4,217.46/x
  3. Step 3: Cross multiply
    6,874.62x = 9,484.11 × 4,217.46
  4. Step 4: Simplify right side
    6,874.62x = 39,998,854.56
  5. Step 5: Solve for x
    x = 39,998,854.56/6,874.62
  6. Step 6: Final answer
    x = 5,818.34

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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.