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Finding the Fourth Proportional to 6,286.36, 9,357.68 and 6,192.94

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Solution

The fourth proportional to 6,286.36, 9,357.68 and 6,192.94 is: 9,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.36 : 9,357.68 = 6,192.94 : x
  2. Step 2: Convert to fraction form
    6,286.36/9,357.68 = 6,192.94/x
  3. Step 3: Cross multiply
    6,286.36x = 9,357.68 × 6,192.94
  4. Step 4: Simplify right side
    6,286.36x = 57,951,550.78
  5. Step 5: Solve for x
    x = 57,951,550.78/6,286.36
  6. Step 6: Final answer
    x = 9,218.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.