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Finding the Fourth Proportional to 6,939.76, 9,576.67 and 3,795.88

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Solution

The fourth proportional to 6,939.76, 9,576.67 and 3,795.88 is: 5,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.76 : 9,576.67 = 3,795.88 : x
  2. Step 2: Convert to fraction form
    6,939.76/9,576.67 = 3,795.88/x
  3. Step 3: Cross multiply
    6,939.76x = 9,576.67 × 3,795.88
  4. Step 4: Simplify right side
    6,939.76x = 36,351,823.26
  5. Step 5: Solve for x
    x = 36,351,823.26/6,939.76
  6. Step 6: Final answer
    x = 5,238.20

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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.