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Finding the Fourth Proportional to 6,960.96, 9,606.12 and 3,817.20

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Solution

The fourth proportional to 6,960.96, 9,606.12 and 3,817.20 is: 5,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.96 : 9,606.12 = 3,817.20 : x
  2. Step 2: Convert to fraction form
    6,960.96/9,606.12 = 3,817.20/x
  3. Step 3: Cross multiply
    6,960.96x = 9,606.12 × 3,817.20
  4. Step 4: Simplify right side
    6,960.96x = 36,668,481.26
  5. Step 5: Solve for x
    x = 36,668,481.26/6,960.96
  6. Step 6: Final answer
    x = 5,267.73

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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.