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Finding the Fourth Proportional to 7,096.63, 9,793.14 and 3,952.75

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Solution

The fourth proportional to 7,096.63, 9,793.14 and 3,952.75 is: 5,454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.63 : 9,793.14 = 3,952.75 : x
  2. Step 2: Convert to fraction form
    7,096.63/9,793.14 = 3,952.75/x
  3. Step 3: Cross multiply
    7,096.63x = 9,793.14 × 3,952.75
  4. Step 4: Simplify right side
    7,096.63x = 38,709,834.14
  5. Step 5: Solve for x
    x = 38,709,834.14/7,096.63
  6. Step 6: Final answer
    x = 5,454.68

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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.