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Finding the Fourth Proportional to 6,131.80, 9,200.10 and 2,236.60

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Solution

The fourth proportional to 6,131.80, 9,200.10 and 2,236.60 is: 3,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.80 : 9,200.10 = 2,236.60 : x
  2. Step 2: Convert to fraction form
    6,131.80/9,200.10 = 2,236.60/x
  3. Step 3: Cross multiply
    6,131.80x = 9,200.10 × 2,236.60
  4. Step 4: Simplify right side
    6,131.80x = 20,576,943.66
  5. Step 5: Solve for x
    x = 20,576,943.66/6,131.80
  6. Step 6: Final answer
    x = 3,355.78

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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.