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Finding the Fourth Proportional to 9,912.80, 13,679.22 and 5,936.10

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Solution

The fourth proportional to 9,912.80, 13,679.22 and 5,936.10 is: 8,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.80 : 13,679.22 = 5,936.10 : x
  2. Step 2: Convert to fraction form
    9,912.80/13,679.22 = 5,936.10/x
  3. Step 3: Cross multiply
    9,912.80x = 13,679.22 × 5,936.10
  4. Step 4: Simplify right side
    9,912.80x = 81,201,217.84
  5. Step 5: Solve for x
    x = 81,201,217.84/9,912.80
  6. Step 6: Final answer
    x = 8,191.56

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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.