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Finding the Fourth Proportional to 6,286.12, 9,421.04 and 2,584.16

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Solution

The fourth proportional to 6,286.12, 9,421.04 and 2,584.16 is: 3,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.12 : 9,421.04 = 2,584.16 : x
  2. Step 2: Convert to fraction form
    6,286.12/9,421.04 = 2,584.16/x
  3. Step 3: Cross multiply
    6,286.12x = 9,421.04 × 2,584.16
  4. Step 4: Simplify right side
    6,286.12x = 24,345,474.73
  5. Step 5: Solve for x
    x = 24,345,474.73/6,286.12
  6. Step 6: Final answer
    x = 3,872.89

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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.