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Finding the Fourth Proportional to 6,716.30, 9,269.87 and 3,883.82

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Solution

The fourth proportional to 6,716.30, 9,269.87 and 3,883.82 is: 5,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.30 : 9,269.87 = 3,883.82 : x
  2. Step 2: Convert to fraction form
    6,716.30/9,269.87 = 3,883.82/x
  3. Step 3: Cross multiply
    6,716.30x = 9,269.87 × 3,883.82
  4. Step 4: Simplify right side
    6,716.30x = 36,002,440.73
  5. Step 5: Solve for x
    x = 36,002,440.73/6,716.30
  6. Step 6: Final answer
    x = 5,360.46

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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.