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Finding the Fourth Proportional to 6,507.29, 9,763.97 and 3,874.73

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Solution

The fourth proportional to 6,507.29, 9,763.97 and 3,874.73 is: 5,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.29 : 9,763.97 = 3,874.73 : x
  2. Step 2: Convert to fraction form
    6,507.29/9,763.97 = 3,874.73/x
  3. Step 3: Cross multiply
    6,507.29x = 9,763.97 × 3,874.73
  4. Step 4: Simplify right side
    6,507.29x = 37,832,679.28
  5. Step 5: Solve for x
    x = 37,832,679.28/6,507.29
  6. Step 6: Final answer
    x = 5,813.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.