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Finding the Fourth Proportional to 9,456.89, 14,168.48 and 5,757.21

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Solution

The fourth proportional to 9,456.89, 14,168.48 and 5,757.21 is: 8,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.89 : 14,168.48 = 5,757.21 : x
  2. Step 2: Convert to fraction form
    9,456.89/14,168.48 = 5,757.21/x
  3. Step 3: Cross multiply
    9,456.89x = 14,168.48 × 5,757.21
  4. Step 4: Simplify right side
    9,456.89x = 81,570,885.95
  5. Step 5: Solve for x
    x = 81,570,885.95/9,456.89
  6. Step 6: Final answer
    x = 8,625.56

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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.