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Finding the Fourth Proportional to 6,151.83, 9,222.26 and 2,255.32

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Solution

The fourth proportional to 6,151.83, 9,222.26 and 2,255.32 is: 3,380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.83 : 9,222.26 = 2,255.32 : x
  2. Step 2: Convert to fraction form
    6,151.83/9,222.26 = 2,255.32/x
  3. Step 3: Cross multiply
    6,151.83x = 9,222.26 × 2,255.32
  4. Step 4: Simplify right side
    6,151.83x = 20,799,147.42
  5. Step 5: Solve for x
    x = 20,799,147.42/6,151.83
  6. Step 6: Final answer
    x = 3,380.97

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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.