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Finding the Fourth Proportional to 6,729.51, 9,286.74 and 3,745.20

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Solution

The fourth proportional to 6,729.51, 9,286.74 and 3,745.20 is: 5,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.51 : 9,286.74 = 3,745.20 : x
  2. Step 2: Convert to fraction form
    6,729.51/9,286.74 = 3,745.20/x
  3. Step 3: Cross multiply
    6,729.51x = 9,286.74 × 3,745.20
  4. Step 4: Simplify right side
    6,729.51x = 34,780,698.65
  5. Step 5: Solve for x
    x = 34,780,698.65/6,729.51
  6. Step 6: Final answer
    x = 5,168.39

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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.