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Finding the Fourth Proportional to 9,769.87, 13,481.61 and 5,521.29

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Solution

The fourth proportional to 9,769.87, 13,481.61 and 5,521.29 is: 7,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.87 : 13,481.61 = 5,521.29 : x
  2. Step 2: Convert to fraction form
    9,769.87/13,481.61 = 5,521.29/x
  3. Step 3: Cross multiply
    9,769.87x = 13,481.61 × 5,521.29
  4. Step 4: Simplify right side
    9,769.87x = 74,435,891.72
  5. Step 5: Solve for x
    x = 74,435,891.72/9,769.87
  6. Step 6: Final answer
    x = 7,618.93

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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.