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Finding the Fourth Proportional to 6,932.34, 9,567.52 and 3,949.25

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Solution

The fourth proportional to 6,932.34, 9,567.52 and 3,949.25 is: 5,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.34 : 9,567.52 = 3,949.25 : x
  2. Step 2: Convert to fraction form
    6,932.34/9,567.52 = 3,949.25/x
  3. Step 3: Cross multiply
    6,932.34x = 9,567.52 × 3,949.25
  4. Step 4: Simplify right side
    6,932.34x = 37,784,470.65
  5. Step 5: Solve for x
    x = 37,784,470.65/6,932.34
  6. Step 6: Final answer
    x = 5,450.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.