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Finding the Fourth Proportional to 6,162.71, 9,244.97 and 2,266.82

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Solution

The fourth proportional to 6,162.71, 9,244.97 and 2,266.82 is: 3,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.71 : 9,244.97 = 2,266.82 : x
  2. Step 2: Convert to fraction form
    6,162.71/9,244.97 = 2,266.82/x
  3. Step 3: Cross multiply
    6,162.71x = 9,244.97 × 2,266.82
  4. Step 4: Simplify right side
    6,162.71x = 20,956,625.34
  5. Step 5: Solve for x
    x = 20,956,625.34/6,162.71
  6. Step 6: Final answer
    x = 3,400.56

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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.