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Finding the Fourth Proportional to 7,005.60, 9,667.68 and 3,861.78

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Solution

The fourth proportional to 7,005.60, 9,667.68 and 3,861.78 is: 5,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.60 : 9,667.68 = 3,861.78 : x
  2. Step 2: Convert to fraction form
    7,005.60/9,667.68 = 3,861.78/x
  3. Step 3: Cross multiply
    7,005.60x = 9,667.68 × 3,861.78
  4. Step 4: Simplify right side
    7,005.60x = 37,334,453.27
  5. Step 5: Solve for x
    x = 37,334,453.27/7,005.60
  6. Step 6: Final answer
    x = 5,329.23

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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.