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Finding the Fourth Proportional to 6,796.87, 9,379.82 and 3,812.92

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Solution

The fourth proportional to 6,796.87, 9,379.82 and 3,812.92 is: 5,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.87 : 9,379.82 = 3,812.92 : x
  2. Step 2: Convert to fraction form
    6,796.87/9,379.82 = 3,812.92/x
  3. Step 3: Cross multiply
    6,796.87x = 9,379.82 × 3,812.92
  4. Step 4: Simplify right side
    6,796.87x = 35,764,489.36
  5. Step 5: Solve for x
    x = 35,764,489.36/6,796.87
  6. Step 6: Final answer
    x = 5,261.91

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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.