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Finding the Fourth Proportional to 6,161.22, 9,234.81 and 2,654.10

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Solution

The fourth proportional to 6,161.22, 9,234.81 and 2,654.10 is: 3,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.22 : 9,234.81 = 2,654.10 : x
  2. Step 2: Convert to fraction form
    6,161.22/9,234.81 = 2,654.10/x
  3. Step 3: Cross multiply
    6,161.22x = 9,234.81 × 2,654.10
  4. Step 4: Simplify right side
    6,161.22x = 24,510,109.22
  5. Step 5: Solve for x
    x = 24,510,109.22/6,161.22
  6. Step 6: Final answer
    x = 3,978.13

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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.