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Finding the Fourth Proportional to 6,938.46, 9,575.31 and 3,794.65

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Solution

The fourth proportional to 6,938.46, 9,575.31 and 3,794.65 is: 5,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.46 : 9,575.31 = 3,794.65 : x
  2. Step 2: Convert to fraction form
    6,938.46/9,575.31 = 3,794.65/x
  3. Step 3: Cross multiply
    6,938.46x = 9,575.31 × 3,794.65
  4. Step 4: Simplify right side
    6,938.46x = 36,334,940.38
  5. Step 5: Solve for x
    x = 36,334,940.38/6,938.46
  6. Step 6: Final answer
    x = 5,236.74

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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.