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Finding the Fourth Proportional to 9,850.14, 13,591.57 and 5,871.42

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Solution

The fourth proportional to 9,850.14, 13,591.57 and 5,871.42 is: 8,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.14 : 13,591.57 = 5,871.42 : x
  2. Step 2: Convert to fraction form
    9,850.14/13,591.57 = 5,871.42/x
  3. Step 3: Cross multiply
    9,850.14x = 13,591.57 × 5,871.42
  4. Step 4: Simplify right side
    9,850.14x = 79,801,815.93
  5. Step 5: Solve for x
    x = 79,801,815.93/9,850.14
  6. Step 6: Final answer
    x = 8,101.59

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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.