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Finding the Fourth Proportional to 7,005.67, 9,667.89 and 3,861.97

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Solution

The fourth proportional to 7,005.67, 9,667.89 and 3,861.97 is: 5,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.67 : 9,667.89 = 3,861.97 : x
  2. Step 2: Convert to fraction form
    7,005.67/9,667.89 = 3,861.97/x
  3. Step 3: Cross multiply
    7,005.67x = 9,667.89 × 3,861.97
  4. Step 4: Simplify right side
    7,005.67x = 37,337,033.49
  5. Step 5: Solve for x
    x = 37,337,033.49/7,005.67
  6. Step 6: Final answer
    x = 5,329.55

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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.