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Finding the Fourth Proportional to 6,889.28, 9,507.26 and 3,745.47

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Solution

The fourth proportional to 6,889.28, 9,507.26 and 3,745.47 is: 5,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.28 : 9,507.26 = 3,745.47 : x
  2. Step 2: Convert to fraction form
    6,889.28/9,507.26 = 3,745.47/x
  3. Step 3: Cross multiply
    6,889.28x = 9,507.26 × 3,745.47
  4. Step 4: Simplify right side
    6,889.28x = 35,609,138.38
  5. Step 5: Solve for x
    x = 35,609,138.38/6,889.28
  6. Step 6: Final answer
    x = 5,168.78

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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.