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Finding the Fourth Proportional to 6,286.40, 9,429.62 and 2,125.30

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Solution

The fourth proportional to 6,286.40, 9,429.62 and 2,125.30 is: 3,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.40 : 9,429.62 = 2,125.30 : x
  2. Step 2: Convert to fraction form
    6,286.40/9,429.62 = 2,125.30/x
  3. Step 3: Cross multiply
    6,286.40x = 9,429.62 × 2,125.30
  4. Step 4: Simplify right side
    6,286.40x = 20,040,713.61
  5. Step 5: Solve for x
    x = 20,040,713.61/6,286.40
  6. Step 6: Final answer
    x = 3,187.95

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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.