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Finding the Fourth Proportional to 7,034.07, 9,727.97 and 6,286.85

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Solution

The fourth proportional to 7,034.07, 9,727.97 and 6,286.85 is: 8,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.07 : 9,727.97 = 6,286.85 : x
  2. Step 2: Convert to fraction form
    7,034.07/9,727.97 = 6,286.85/x
  3. Step 3: Cross multiply
    7,034.07x = 9,727.97 × 6,286.85
  4. Step 4: Simplify right side
    7,034.07x = 61,158,208.12
  5. Step 5: Solve for x
    x = 61,158,208.12/7,034.07
  6. Step 6: Final answer
    x = 8,694.57

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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.