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Finding the Fourth Proportional to 6,104.96, 9,172.12 and 3,918

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Solution

The fourth proportional to 6,104.96, 9,172.12 and 3,918 is: 5,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.96 : 9,172.12 = 3,918 : x
  2. Step 2: Convert to fraction form
    6,104.96/9,172.12 = 3,918/x
  3. Step 3: Cross multiply
    6,104.96x = 9,172.12 × 3,918
  4. Step 4: Simplify right side
    6,104.96x = 35,936,366.16
  5. Step 5: Solve for x
    x = 35,936,366.16/6,104.96
  6. Step 6: Final answer
    x = 5,886.42

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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.