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Finding the Fourth Proportional to 6,286.52, 9,433.40 and 3,364.80

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Solution

The fourth proportional to 6,286.52, 9,433.40 and 3,364.80 is: 5,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.52 : 9,433.40 = 3,364.80 : x
  2. Step 2: Convert to fraction form
    6,286.52/9,433.40 = 3,364.80/x
  3. Step 3: Cross multiply
    6,286.52x = 9,433.40 × 3,364.80
  4. Step 4: Simplify right side
    6,286.52x = 31,741,504.32
  5. Step 5: Solve for x
    x = 31,741,504.32/6,286.52
  6. Step 6: Final answer
    x = 5,049.14

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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.