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Finding the Fourth Proportional to 6,960.82, 9,605.96 and 4,166.32

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Solution

The fourth proportional to 6,960.82, 9,605.96 and 4,166.32 is: 5,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.82 : 9,605.96 = 4,166.32 : x
  2. Step 2: Convert to fraction form
    6,960.82/9,605.96 = 4,166.32/x
  3. Step 3: Cross multiply
    6,960.82x = 9,605.96 × 4,166.32
  4. Step 4: Simplify right side
    6,960.82x = 40,021,503.27
  5. Step 5: Solve for x
    x = 40,021,503.27/6,960.82
  6. Step 6: Final answer
    x = 5,749.54

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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.