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Finding the Fourth Proportional to 6,966.27, 9,613.08 and 3,981.83

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Solution

The fourth proportional to 6,966.27, 9,613.08 and 3,981.83 is: 5,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.27 : 9,613.08 = 3,981.83 : x
  2. Step 2: Convert to fraction form
    6,966.27/9,613.08 = 3,981.83/x
  3. Step 3: Cross multiply
    6,966.27x = 9,613.08 × 3,981.83
  4. Step 4: Simplify right side
    6,966.27x = 38,277,602.27
  5. Step 5: Solve for x
    x = 38,277,602.27/6,966.27
  6. Step 6: Final answer
    x = 5,494.71

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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.