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Finding the Fourth Proportional to 9,136.64, 13,704.69 and 2,562.68

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Solution

The fourth proportional to 9,136.64, 13,704.69 and 2,562.68 is: 3,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.64 : 13,704.69 = 2,562.68 : x
  2. Step 2: Convert to fraction form
    9,136.64/13,704.69 = 2,562.68/x
  3. Step 3: Cross multiply
    9,136.64x = 13,704.69 × 2,562.68
  4. Step 4: Simplify right side
    9,136.64x = 35,120,734.97
  5. Step 5: Solve for x
    x = 35,120,734.97/9,136.64
  6. Step 6: Final answer
    x = 3,843.94

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Why These Related Problems?

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