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Finding the Fourth Proportional to 6,202.65, 9,287.52 and 3,734.08

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Solution

The fourth proportional to 6,202.65, 9,287.52 and 3,734.08 is: 5,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.65 : 9,287.52 = 3,734.08 : x
  2. Step 2: Convert to fraction form
    6,202.65/9,287.52 = 3,734.08/x
  3. Step 3: Cross multiply
    6,202.65x = 9,287.52 × 3,734.08
  4. Step 4: Simplify right side
    6,202.65x = 34,680,342.68
  5. Step 5: Solve for x
    x = 34,680,342.68/6,202.65
  6. Step 6: Final answer
    x = 5,591.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.