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Finding the Fourth Proportional to 6,945.26, 9,584.48 and 3,801.65

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Solution

The fourth proportional to 6,945.26, 9,584.48 and 3,801.65 is: 5,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.26 : 9,584.48 = 3,801.65 : x
  2. Step 2: Convert to fraction form
    6,945.26/9,584.48 = 3,801.65/x
  3. Step 3: Cross multiply
    6,945.26x = 9,584.48 × 3,801.65
  4. Step 4: Simplify right side
    6,945.26x = 36,436,838.39
  5. Step 5: Solve for x
    x = 36,436,838.39/6,945.26
  6. Step 6: Final answer
    x = 5,246.29

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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.