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Finding the Fourth Proportional to 9,865.25, 14,797.91 and 2,469.68

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Solution

The fourth proportional to 9,865.25, 14,797.91 and 2,469.68 is: 3,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.25 : 14,797.91 = 2,469.68 : x
  2. Step 2: Convert to fraction form
    9,865.25/14,797.91 = 2,469.68/x
  3. Step 3: Cross multiply
    9,865.25x = 14,797.91 × 2,469.68
  4. Step 4: Simplify right side
    9,865.25x = 36,546,016.03
  5. Step 5: Solve for x
    x = 36,546,016.03/9,865.25
  6. Step 6: Final answer
    x = 3,704.52

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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.