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Finding the Fourth Proportional to 6,966.02, 9,613.13 and 3,822.27

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Solution

The fourth proportional to 6,966.02, 9,613.13 and 3,822.27 is: 5,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.02 : 9,613.13 = 3,822.27 : x
  2. Step 2: Convert to fraction form
    6,966.02/9,613.13 = 3,822.27/x
  3. Step 3: Cross multiply
    6,966.02x = 9,613.13 × 3,822.27
  4. Step 4: Simplify right side
    6,966.02x = 36,743,959.29
  5. Step 5: Solve for x
    x = 36,743,959.29/6,966.02
  6. Step 6: Final answer
    x = 5,274.75

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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.