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Finding the Fourth Proportional to 7,005.72, 9,667.48 and 3,861.96

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Solution

The fourth proportional to 7,005.72, 9,667.48 and 3,861.96 is: 5,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.72 : 9,667.48 = 3,861.96 : x
  2. Step 2: Convert to fraction form
    7,005.72/9,667.48 = 3,861.96/x
  3. Step 3: Cross multiply
    7,005.72x = 9,667.48 × 3,861.96
  4. Step 4: Simplify right side
    7,005.72x = 37,335,421.06
  5. Step 5: Solve for x
    x = 37,335,421.06/7,005.72
  6. Step 6: Final answer
    x = 5,329.28

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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.