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Finding the Fourth Proportional to 6,627.29, 9,942.08 and 3,295.76

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Solution

The fourth proportional to 6,627.29, 9,942.08 and 3,295.76 is: 4,944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.29 : 9,942.08 = 3,295.76 : x
  2. Step 2: Convert to fraction form
    6,627.29/9,942.08 = 3,295.76/x
  3. Step 3: Cross multiply
    6,627.29x = 9,942.08 × 3,295.76
  4. Step 4: Simplify right side
    6,627.29x = 32,766,643.39
  5. Step 5: Solve for x
    x = 32,766,643.39/6,627.29
  6. Step 6: Final answer
    x = 4,944.20

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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.