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Finding the Fourth Proportional to 7,096.57, 9,793.26 and 3,952.75

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Solution

The fourth proportional to 7,096.57, 9,793.26 and 3,952.75 is: 5,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.57 : 9,793.26 = 3,952.75 : x
  2. Step 2: Convert to fraction form
    7,096.57/9,793.26 = 3,952.75/x
  3. Step 3: Cross multiply
    7,096.57x = 9,793.26 × 3,952.75
  4. Step 4: Simplify right side
    7,096.57x = 38,710,308.47
  5. Step 5: Solve for x
    x = 38,710,308.47/7,096.57
  6. Step 6: Final answer
    x = 5,454.79

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Why These Related Problems?

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