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Finding the Fourth Proportional to 9,768.72, 13,480.79 and 5,576.97

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Solution

The fourth proportional to 9,768.72, 13,480.79 and 5,576.97 is: 7,696.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.72 : 13,480.79 = 5,576.97 : x
  2. Step 2: Convert to fraction form
    9,768.72/13,480.79 = 5,576.97/x
  3. Step 3: Cross multiply
    9,768.72x = 13,480.79 × 5,576.97
  4. Step 4: Simplify right side
    9,768.72x = 75,181,933.52
  5. Step 5: Solve for x
    x = 75,181,933.52/9,768.72
  6. Step 6: Final answer
    x = 7,696.19

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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.