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Finding the Fourth Proportional to 6,966.27, 9,613.53 and 3,822.39

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Solution

The fourth proportional to 6,966.27, 9,613.53 and 3,822.39 is: 5,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.27 : 9,613.53 = 3,822.39 : x
  2. Step 2: Convert to fraction form
    6,966.27/9,613.53 = 3,822.39/x
  3. Step 3: Cross multiply
    6,966.27x = 9,613.53 × 3,822.39
  4. Step 4: Simplify right side
    6,966.27x = 36,746,660.94
  5. Step 5: Solve for x
    x = 36,746,660.94/6,966.27
  6. Step 6: Final answer
    x = 5,274.94

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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.