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Finding the Fourth Proportional to 6,966.65, 9,613.97 and 3,982.55

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Solution

The fourth proportional to 6,966.65, 9,613.97 and 3,982.55 is: 5,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.65 : 9,613.97 = 3,982.55 : x
  2. Step 2: Convert to fraction form
    6,966.65/9,613.97 = 3,982.55/x
  3. Step 3: Cross multiply
    6,966.65x = 9,613.97 × 3,982.55
  4. Step 4: Simplify right side
    6,966.65x = 38,288,048.24
  5. Step 5: Solve for x
    x = 38,288,048.24/6,966.65
  6. Step 6: Final answer
    x = 5,495.91

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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.