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Finding the Fourth Proportional to 6,166.41, 9,243.44 and 2,657.90

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Solution

The fourth proportional to 6,166.41, 9,243.44 and 2,657.90 is: 3,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.41 : 9,243.44 = 2,657.90 : x
  2. Step 2: Convert to fraction form
    6,166.41/9,243.44 = 2,657.90/x
  3. Step 3: Cross multiply
    6,166.41x = 9,243.44 × 2,657.90
  4. Step 4: Simplify right side
    6,166.41x = 24,568,079.67
  5. Step 5: Solve for x
    x = 24,568,079.67/6,166.41
  6. Step 6: Final answer
    x = 3,984.18

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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.