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Finding the Fourth Proportional to 6,375.20, 9,609.40 and 6,111.52

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Solution

The fourth proportional to 6,375.20, 9,609.40 and 6,111.52 is: 9,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.20 : 9,609.40 = 6,111.52 : x
  2. Step 2: Convert to fraction form
    6,375.20/9,609.40 = 6,111.52/x
  3. Step 3: Cross multiply
    6,375.20x = 9,609.40 × 6,111.52
  4. Step 4: Simplify right side
    6,375.20x = 58,728,040.29
  5. Step 5: Solve for x
    x = 58,728,040.29/6,375.20
  6. Step 6: Final answer
    x = 9,211.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.