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Finding the Fourth Proportional to 6,528.42, 9,789.34 and 3,196.93

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Solution

The fourth proportional to 6,528.42, 9,789.34 and 3,196.93 is: 4,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.42 : 9,789.34 = 3,196.93 : x
  2. Step 2: Convert to fraction form
    6,528.42/9,789.34 = 3,196.93/x
  3. Step 3: Cross multiply
    6,528.42x = 9,789.34 × 3,196.93
  4. Step 4: Simplify right side
    6,528.42x = 31,295,834.73
  5. Step 5: Solve for x
    x = 31,295,834.73/6,528.42
  6. Step 6: Final answer
    x = 4,793.78

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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.