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Finding the Fourth Proportional to 9,445.97, 14,169.75 and 2,872.22

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Solution

The fourth proportional to 9,445.97, 14,169.75 and 2,872.22 is: 4,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.97 : 14,169.75 = 2,872.22 : x
  2. Step 2: Convert to fraction form
    9,445.97/14,169.75 = 2,872.22/x
  3. Step 3: Cross multiply
    9,445.97x = 14,169.75 × 2,872.22
  4. Step 4: Simplify right side
    9,445.97x = 40,698,568.50
  5. Step 5: Solve for x
    x = 40,698,568.50/9,445.97
  6. Step 6: Final answer
    x = 4,308.56

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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.