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Finding the Fourth Proportional to 6,667.38, 9,988.11 and 3,747.60

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Solution

The fourth proportional to 6,667.38, 9,988.11 and 3,747.60 is: 5,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.38 : 9,988.11 = 3,747.60 : x
  2. Step 2: Convert to fraction form
    6,667.38/9,988.11 = 3,747.60/x
  3. Step 3: Cross multiply
    6,667.38x = 9,988.11 × 3,747.60
  4. Step 4: Simplify right side
    6,667.38x = 37,431,441.04
  5. Step 5: Solve for x
    x = 37,431,441.04/6,667.38
  6. Step 6: Final answer
    x = 5,614.12

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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.