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Finding the Fourth Proportional to 6,796.88, 9,380.16 and 3,812.96

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Solution

The fourth proportional to 6,796.88, 9,380.16 and 3,812.96 is: 5,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.88 : 9,380.16 = 3,812.96 : x
  2. Step 2: Convert to fraction form
    6,796.88/9,380.16 = 3,812.96/x
  3. Step 3: Cross multiply
    6,796.88x = 9,380.16 × 3,812.96
  4. Step 4: Simplify right side
    6,796.88x = 35,766,174.87
  5. Step 5: Solve for x
    x = 35,766,174.87/6,796.88
  6. Step 6: Final answer
    x = 5,262.15

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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.