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Finding the Fourth Proportional to 6,965.97, 9,613.19 and 3,822.16

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Solution

The fourth proportional to 6,965.97, 9,613.19 and 3,822.16 is: 5,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.97 : 9,613.19 = 3,822.16 : x
  2. Step 2: Convert to fraction form
    6,965.97/9,613.19 = 3,822.16/x
  3. Step 3: Cross multiply
    6,965.97x = 9,613.19 × 3,822.16
  4. Step 4: Simplify right side
    6,965.97x = 36,743,150.29
  5. Step 5: Solve for x
    x = 36,743,150.29/6,965.97
  6. Step 6: Final answer
    x = 5,274.66

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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.