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Finding the Fourth Proportional to 6,062.62, 9,097.80 and 3,986.80

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Solution

The fourth proportional to 6,062.62, 9,097.80 and 3,986.80 is: 5,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062.62 : 9,097.80 = 3,986.80 : x
  2. Step 2: Convert to fraction form
    6,062.62/9,097.80 = 3,986.80/x
  3. Step 3: Cross multiply
    6,062.62x = 9,097.80 × 3,986.80
  4. Step 4: Simplify right side
    6,062.62x = 36,271,109.04
  5. Step 5: Solve for x
    x = 36,271,109.04/6,062.62
  6. Step 6: Final answer
    x = 5,982.74

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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.