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Finding the Fourth Proportional to 9,449.78, 14,172.12 and 2,874.20

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Solution

The fourth proportional to 9,449.78, 14,172.12 and 2,874.20 is: 4,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.78 : 14,172.12 = 2,874.20 : x
  2. Step 2: Convert to fraction form
    9,449.78/14,172.12 = 2,874.20/x
  3. Step 3: Cross multiply
    9,449.78x = 14,172.12 × 2,874.20
  4. Step 4: Simplify right side
    9,449.78x = 40,733,436.44
  5. Step 5: Solve for x
    x = 40,733,436.44/9,449.78
  6. Step 6: Final answer
    x = 4,310.52

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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.