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Finding the Fourth Proportional to 6,286.25, 9,424.88 and 2,952.63

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Solution

The fourth proportional to 6,286.25, 9,424.88 and 2,952.63 is: 4,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.25 : 9,424.88 = 2,952.63 : x
  2. Step 2: Convert to fraction form
    6,286.25/9,424.88 = 2,952.63/x
  3. Step 3: Cross multiply
    6,286.25x = 9,424.88 × 2,952.63
  4. Step 4: Simplify right side
    6,286.25x = 27,828,183.43
  5. Step 5: Solve for x
    x = 27,828,183.43/6,286.25
  6. Step 6: Final answer
    x = 4,426.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.