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Finding the Fourth Proportional to 6,202.90, 9,304.35 and 5,727.70

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Solution

The fourth proportional to 6,202.90, 9,304.35 and 5,727.70 is: 8,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.90 : 9,304.35 = 5,727.70 : x
  2. Step 2: Convert to fraction form
    6,202.90/9,304.35 = 5,727.70/x
  3. Step 3: Cross multiply
    6,202.90x = 9,304.35 × 5,727.70
  4. Step 4: Simplify right side
    6,202.90x = 53,292,525.50
  5. Step 5: Solve for x
    x = 53,292,525.50/6,202.90
  6. Step 6: Final answer
    x = 8,591.55

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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.