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Finding the Fourth Proportional to 9,832.89, 14,745.42 and 3,591.48

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Solution

The fourth proportional to 9,832.89, 14,745.42 and 3,591.48 is: 5,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.89 : 14,745.42 = 3,591.48 : x
  2. Step 2: Convert to fraction form
    9,832.89/14,745.42 = 3,591.48/x
  3. Step 3: Cross multiply
    9,832.89x = 14,745.42 × 3,591.48
  4. Step 4: Simplify right side
    9,832.89x = 52,957,881.02
  5. Step 5: Solve for x
    x = 52,957,881.02/9,832.89
  6. Step 6: Final answer
    x = 5,385.79

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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.