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Finding the Fourth Proportional to 6,149.88, 9,222.56 and 2,200.08

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Solution

The fourth proportional to 6,149.88, 9,222.56 and 2,200.08 is: 3,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.88 : 9,222.56 = 2,200.08 : x
  2. Step 2: Convert to fraction form
    6,149.88/9,222.56 = 2,200.08/x
  3. Step 3: Cross multiply
    6,149.88x = 9,222.56 × 2,200.08
  4. Step 4: Simplify right side
    6,149.88x = 20,290,358.80
  5. Step 5: Solve for x
    x = 20,290,358.80/6,149.88
  6. Step 6: Final answer
    x = 3,299.31

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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.