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Finding the Fourth Proportional to 7,096.17, 9,793.49 and 3,909.79

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Solution

The fourth proportional to 7,096.17, 9,793.49 and 3,909.79 is: 5,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.17 : 9,793.49 = 3,909.79 : x
  2. Step 2: Convert to fraction form
    7,096.17/9,793.49 = 3,909.79/x
  3. Step 3: Cross multiply
    7,096.17x = 9,793.49 × 3,909.79
  4. Step 4: Simplify right side
    7,096.17x = 38,290,481.96
  5. Step 5: Solve for x
    x = 38,290,481.96/7,096.17
  6. Step 6: Final answer
    x = 5,395.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.