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Finding the Fourth Proportional to 6,528.43, 9,793.86 and 2,829.97

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Solution

The fourth proportional to 6,528.43, 9,793.86 and 2,829.97 is: 4,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.43 : 9,793.86 = 2,829.97 : x
  2. Step 2: Convert to fraction form
    6,528.43/9,793.86 = 2,829.97/x
  3. Step 3: Cross multiply
    6,528.43x = 9,793.86 × 2,829.97
  4. Step 4: Simplify right side
    6,528.43x = 27,716,329.98
  5. Step 5: Solve for x
    x = 27,716,329.98/6,528.43
  6. Step 6: Final answer
    x = 4,245.48

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