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Finding the Fourth Proportional to 7,096.54, 9,793.24 and 3,909.76

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Solution

The fourth proportional to 7,096.54, 9,793.24 and 3,909.76 is: 5,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.54 : 9,793.24 = 3,909.76 : x
  2. Step 2: Convert to fraction form
    7,096.54/9,793.24 = 3,909.76/x
  3. Step 3: Cross multiply
    7,096.54x = 9,793.24 × 3,909.76
  4. Step 4: Simplify right side
    7,096.54x = 38,289,218.02
  5. Step 5: Solve for x
    x = 38,289,218.02/7,096.54
  6. Step 6: Final answer
    x = 5,395.48

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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.