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Finding the Fourth Proportional to 6,830.93, 9,426.83 and 4,142.24

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Solution

The fourth proportional to 6,830.93, 9,426.83 and 4,142.24 is: 5,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.93 : 9,426.83 = 4,142.24 : x
  2. Step 2: Convert to fraction form
    6,830.93/9,426.83 = 4,142.24/x
  3. Step 3: Cross multiply
    6,830.93x = 9,426.83 × 4,142.24
  4. Step 4: Simplify right side
    6,830.93x = 39,048,183.10
  5. Step 5: Solve for x
    x = 39,048,183.10/6,830.93
  6. Step 6: Final answer
    x = 5,716.38

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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.