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Finding the Fourth Proportional to 6,162.12, 9,286.02 and 5,577.30

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Solution

The fourth proportional to 6,162.12, 9,286.02 and 5,577.30 is: 8,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.12 : 9,286.02 = 5,577.30 : x
  2. Step 2: Convert to fraction form
    6,162.12/9,286.02 = 5,577.30/x
  3. Step 3: Cross multiply
    6,162.12x = 9,286.02 × 5,577.30
  4. Step 4: Simplify right side
    6,162.12x = 51,790,919.35
  5. Step 5: Solve for x
    x = 51,790,919.35/6,162.12
  6. Step 6: Final answer
    x = 8,404.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.