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Finding the Fourth Proportional to 6,757.63, 9,325.22 and 3,772.88

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Solution

The fourth proportional to 6,757.63, 9,325.22 and 3,772.88 is: 5,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.63 : 9,325.22 = 3,772.88 : x
  2. Step 2: Convert to fraction form
    6,757.63/9,325.22 = 3,772.88/x
  3. Step 3: Cross multiply
    6,757.63x = 9,325.22 × 3,772.88
  4. Step 4: Simplify right side
    6,757.63x = 35,182,870.54
  5. Step 5: Solve for x
    x = 35,182,870.54/6,757.63
  6. Step 6: Final answer
    x = 5,206.39

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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.