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Finding the Fourth Proportional to 6,966.48, 9,613.86 and 3,822.96

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Solution

The fourth proportional to 6,966.48, 9,613.86 and 3,822.96 is: 5,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.48 : 9,613.86 = 3,822.96 : x
  2. Step 2: Convert to fraction form
    6,966.48/9,613.86 = 3,822.96/x
  3. Step 3: Cross multiply
    6,966.48x = 9,613.86 × 3,822.96
  4. Step 4: Simplify right side
    6,966.48x = 36,753,402.23
  5. Step 5: Solve for x
    x = 36,753,402.23/6,966.48
  6. Step 6: Final answer
    x = 5,275.75

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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.