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Finding the Fourth Proportional to 9,769.46, 13,481.84 and 5,293.26

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Solution

The fourth proportional to 9,769.46, 13,481.84 and 5,293.26 is: 7,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.46 : 13,481.84 = 5,293.26 : x
  2. Step 2: Convert to fraction form
    9,769.46/13,481.84 = 5,293.26/x
  3. Step 3: Cross multiply
    9,769.46x = 13,481.84 × 5,293.26
  4. Step 4: Simplify right side
    9,769.46x = 71,362,884.40
  5. Step 5: Solve for x
    x = 71,362,884.40/9,769.46
  6. Step 6: Final answer
    x = 7,304.69

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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.