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Finding the Fourth Proportional to 9,769.53, 13,481.94 and 5,293.41

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Solution

The fourth proportional to 9,769.53, 13,481.94 and 5,293.41 is: 7,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.53 : 13,481.94 = 5,293.41 : x
  2. Step 2: Convert to fraction form
    9,769.53/13,481.94 = 5,293.41/x
  3. Step 3: Cross multiply
    9,769.53x = 13,481.94 × 5,293.41
  4. Step 4: Simplify right side
    9,769.53x = 71,365,375.53
  5. Step 5: Solve for x
    x = 71,365,375.53/9,769.53
  6. Step 6: Final answer
    x = 7,304.89

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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.