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Finding the Fourth Proportional to 9,633.67, 14,451 and 2,708.71

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Solution

The fourth proportional to 9,633.67, 14,451 and 2,708.71 is: 4,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.67 : 14,451 = 2,708.71 : x
  2. Step 2: Convert to fraction form
    9,633.67/14,451 = 2,708.71/x
  3. Step 3: Cross multiply
    9,633.67x = 14,451 × 2,708.71
  4. Step 4: Simplify right side
    9,633.67x = 39,143,568.21
  5. Step 5: Solve for x
    x = 39,143,568.21/9,633.67
  6. Step 6: Final answer
    x = 4,063.20

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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.