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Finding the Fourth Proportional to 9,517.89, 14,280.22 and 4,252.42

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Solution

The fourth proportional to 9,517.89, 14,280.22 and 4,252.42 is: 6,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.89 : 14,280.22 = 4,252.42 : x
  2. Step 2: Convert to fraction form
    9,517.89/14,280.22 = 4,252.42/x
  3. Step 3: Cross multiply
    9,517.89x = 14,280.22 × 4,252.42
  4. Step 4: Simplify right side
    9,517.89x = 60,725,493.13
  5. Step 5: Solve for x
    x = 60,725,493.13/9,517.89
  6. Step 6: Final answer
    x = 6,380.14

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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.