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Finding the Fourth Proportional to 9,844.97, 14,767.42 and 2,449.42

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Solution

The fourth proportional to 9,844.97, 14,767.42 and 2,449.42 is: 3,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.97 : 14,767.42 = 2,449.42 : x
  2. Step 2: Convert to fraction form
    9,844.97/14,767.42 = 2,449.42/x
  3. Step 3: Cross multiply
    9,844.97x = 14,767.42 × 2,449.42
  4. Step 4: Simplify right side
    9,844.97x = 36,171,644.69
  5. Step 5: Solve for x
    x = 36,171,644.69/9,844.97
  6. Step 6: Final answer
    x = 3,674.13

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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.