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Finding the Fourth Proportional to 9,601.12, 13,249.49 and 5,621.43

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Solution

The fourth proportional to 9,601.12, 13,249.49 and 5,621.43 is: 7,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.12 : 13,249.49 = 5,621.43 : x
  2. Step 2: Convert to fraction form
    9,601.12/13,249.49 = 5,621.43/x
  3. Step 3: Cross multiply
    9,601.12x = 13,249.49 × 5,621.43
  4. Step 4: Simplify right side
    9,601.12x = 74,481,052.46
  5. Step 5: Solve for x
    x = 74,481,052.46/9,601.12
  6. Step 6: Final answer
    x = 7,757.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.