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Finding the Fourth Proportional to 9,769.44, 13,481.72 and 5,293.08

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Solution

The fourth proportional to 9,769.44, 13,481.72 and 5,293.08 is: 7,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.44 : 13,481.72 = 5,293.08 : x
  2. Step 2: Convert to fraction form
    9,769.44/13,481.72 = 5,293.08/x
  3. Step 3: Cross multiply
    9,769.44x = 13,481.72 × 5,293.08
  4. Step 4: Simplify right side
    9,769.44x = 71,359,822.50
  5. Step 5: Solve for x
    x = 71,359,822.50/9,769.44
  6. Step 6: Final answer
    x = 7,304.39

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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.