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Finding the Fourth Proportional to 9,446.27, 14,168.50 and 2,872.51

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Solution

The fourth proportional to 9,446.27, 14,168.50 and 2,872.51 is: 4,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.27 : 14,168.50 = 2,872.51 : x
  2. Step 2: Convert to fraction form
    9,446.27/14,168.50 = 2,872.51/x
  3. Step 3: Cross multiply
    9,446.27x = 14,168.50 × 2,872.51
  4. Step 4: Simplify right side
    9,446.27x = 40,699,115.33
  5. Step 5: Solve for x
    x = 40,699,115.33/9,446.27
  6. Step 6: Final answer
    x = 4,308.49

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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.