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Finding the Fourth Proportional to 9,850.14, 13,593.51 and 5,601.12

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Solution

The fourth proportional to 9,850.14, 13,593.51 and 5,601.12 is: 7,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.14 : 13,593.51 = 5,601.12 : x
  2. Step 2: Convert to fraction form
    9,850.14/13,593.51 = 5,601.12/x
  3. Step 3: Cross multiply
    9,850.14x = 13,593.51 × 5,601.12
  4. Step 4: Simplify right side
    9,850.14x = 76,138,880.73
  5. Step 5: Solve for x
    x = 76,138,880.73/9,850.14
  6. Step 6: Final answer
    x = 7,729.73

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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.