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Finding the Fourth Proportional to 6,789.83, 9,369.95 and 4,137.24

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Solution

The fourth proportional to 6,789.83, 9,369.95 and 4,137.24 is: 5,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.83 : 9,369.95 = 4,137.24 : x
  2. Step 2: Convert to fraction form
    6,789.83/9,369.95 = 4,137.24/x
  3. Step 3: Cross multiply
    6,789.83x = 9,369.95 × 4,137.24
  4. Step 4: Simplify right side
    6,789.83x = 38,765,731.94
  5. Step 5: Solve for x
    x = 38,765,731.94/6,789.83
  6. Step 6: Final answer
    x = 5,709.38

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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.