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Finding the Fourth Proportional to 6,781.46, 9,352.05 and 4,508.82

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Solution

The fourth proportional to 6,781.46, 9,352.05 and 4,508.82 is: 6,217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.46 : 9,352.05 = 4,508.82 : x
  2. Step 2: Convert to fraction form
    6,781.46/9,352.05 = 4,508.82/x
  3. Step 3: Cross multiply
    6,781.46x = 9,352.05 × 4,508.82
  4. Step 4: Simplify right side
    6,781.46x = 42,166,710.08
  5. Step 5: Solve for x
    x = 42,166,710.08/6,781.46
  6. Step 6: Final answer
    x = 6,217.94

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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.