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Finding the Fourth Proportional to 6,834.14, 9,431.81 and 4,183.30

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Solution

The fourth proportional to 6,834.14, 9,431.81 and 4,183.30 is: 5,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.14 : 9,431.81 = 4,183.30 : x
  2. Step 2: Convert to fraction form
    6,834.14/9,431.81 = 4,183.30/x
  3. Step 3: Cross multiply
    6,834.14x = 9,431.81 × 4,183.30
  4. Step 4: Simplify right side
    6,834.14x = 39,456,090.77
  5. Step 5: Solve for x
    x = 39,456,090.77/6,834.14
  6. Step 6: Final answer
    x = 5,773.38

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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.