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Finding the Fourth Proportional to 9,842.97, 14,764.51 and 2,447.43

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Solution

The fourth proportional to 9,842.97, 14,764.51 and 2,447.43 is: 3,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.97 : 14,764.51 = 2,447.43 : x
  2. Step 2: Convert to fraction form
    9,842.97/14,764.51 = 2,447.43/x
  3. Step 3: Cross multiply
    9,842.97x = 14,764.51 × 2,447.43
  4. Step 4: Simplify right side
    9,842.97x = 36,135,018.65
  5. Step 5: Solve for x
    x = 36,135,018.65/9,842.97
  6. Step 6: Final answer
    x = 3,671.15

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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.