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Finding the Fourth Proportional to 6,101.20, 9,149.96 and 1,940.44

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Solution

The fourth proportional to 6,101.20, 9,149.96 and 1,940.44 is: 2,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.20 : 9,149.96 = 1,940.44 : x
  2. Step 2: Convert to fraction form
    6,101.20/9,149.96 = 1,940.44/x
  3. Step 3: Cross multiply
    6,101.20x = 9,149.96 × 1,940.44
  4. Step 4: Simplify right side
    6,101.20x = 17,754,948.38
  5. Step 5: Solve for x
    x = 17,754,948.38/6,101.20
  6. Step 6: Final answer
    x = 2,910.07

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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.