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Finding the Fourth Proportional to 6,162.17, 9,239.21 and 2,211.44

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Solution

The fourth proportional to 6,162.17, 9,239.21 and 2,211.44 is: 3,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.17 : 9,239.21 = 2,211.44 : x
  2. Step 2: Convert to fraction form
    6,162.17/9,239.21 = 2,211.44/x
  3. Step 3: Cross multiply
    6,162.17x = 9,239.21 × 2,211.44
  4. Step 4: Simplify right side
    6,162.17x = 20,431,970.60
  5. Step 5: Solve for x
    x = 20,431,970.60/6,162.17
  6. Step 6: Final answer
    x = 3,315.71

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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.