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Finding the Fourth Proportional to 9,876.72, 13,630.20 and 5,400.38

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Solution

The fourth proportional to 9,876.72, 13,630.20 and 5,400.38 is: 7,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.72 : 13,630.20 = 5,400.38 : x
  2. Step 2: Convert to fraction form
    9,876.72/13,630.20 = 5,400.38/x
  3. Step 3: Cross multiply
    9,876.72x = 13,630.20 × 5,400.38
  4. Step 4: Simplify right side
    9,876.72x = 73,608,191.33
  5. Step 5: Solve for x
    x = 73,608,191.33/9,876.72
  6. Step 6: Final answer
    x = 7,452.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.