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Finding the Fourth Proportional to 6,939.75, 9,576.86 and 3,795.94

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Solution

The fourth proportional to 6,939.75, 9,576.86 and 3,795.94 is: 5,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.75 : 9,576.86 = 3,795.94 : x
  2. Step 2: Convert to fraction form
    6,939.75/9,576.86 = 3,795.94/x
  3. Step 3: Cross multiply
    6,939.75x = 9,576.86 × 3,795.94
  4. Step 4: Simplify right side
    6,939.75x = 36,353,143.03
  5. Step 5: Solve for x
    x = 36,353,143.03/6,939.75
  6. Step 6: Final answer
    x = 5,238.39

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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.