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Finding the Fourth Proportional to 6,939.38, 9,576.35 and 3,795.57

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Solution

The fourth proportional to 6,939.38, 9,576.35 and 3,795.57 is: 5,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.38 : 9,576.35 = 3,795.57 : x
  2. Step 2: Convert to fraction form
    6,939.38/9,576.35 = 3,795.57/x
  3. Step 3: Cross multiply
    6,939.38x = 9,576.35 × 3,795.57
  4. Step 4: Simplify right side
    6,939.38x = 36,347,706.77
  5. Step 5: Solve for x
    x = 36,347,706.77/6,939.38
  6. Step 6: Final answer
    x = 5,237.89

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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.