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Finding the Fourth Proportional to 6,151.70, 9,222.08 and 2,255.21

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Solution

The fourth proportional to 6,151.70, 9,222.08 and 2,255.21 is: 3,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.70 : 9,222.08 = 2,255.21 : x
  2. Step 2: Convert to fraction form
    6,151.70/9,222.08 = 2,255.21/x
  3. Step 3: Cross multiply
    6,151.70x = 9,222.08 × 2,255.21
  4. Step 4: Simplify right side
    6,151.70x = 20,797,686.56
  5. Step 5: Solve for x
    x = 20,797,686.56/6,151.70
  6. Step 6: Final answer
    x = 3,380.81

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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.