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Finding the Fourth Proportional to 9,796.20, 14,694 and 2,400.68

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Solution

The fourth proportional to 9,796.20, 14,694 and 2,400.68 is: 3,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.20 : 14,694 = 2,400.68 : x
  2. Step 2: Convert to fraction form
    9,796.20/14,694 = 2,400.68/x
  3. Step 3: Cross multiply
    9,796.20x = 14,694 × 2,400.68
  4. Step 4: Simplify right side
    9,796.20x = 35,275,591.92
  5. Step 5: Solve for x
    x = 35,275,591.92/9,796.20
  6. Step 6: Final answer
    x = 3,600.95

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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.