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Finding the Fourth Proportional to 9,769.37, 13,481.75 and 5,293.16

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Solution

The fourth proportional to 9,769.37, 13,481.75 and 5,293.16 is: 7,304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.37 : 13,481.75 = 5,293.16 : x
  2. Step 2: Convert to fraction form
    9,769.37/13,481.75 = 5,293.16/x
  3. Step 3: Cross multiply
    9,769.37x = 13,481.75 × 5,293.16
  4. Step 4: Simplify right side
    9,769.37x = 71,361,059.83
  5. Step 5: Solve for x
    x = 71,361,059.83/9,769.37
  6. Step 6: Final answer
    x = 7,304.57

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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.