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Finding the Fourth Proportional to 9,616.27, 13,269.94 and 5,424.25

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Solution

The fourth proportional to 9,616.27, 13,269.94 and 5,424.25 is: 7,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.27 : 13,269.94 = 5,424.25 : x
  2. Step 2: Convert to fraction form
    9,616.27/13,269.94 = 5,424.25/x
  3. Step 3: Cross multiply
    9,616.27x = 13,269.94 × 5,424.25
  4. Step 4: Simplify right side
    9,616.27x = 71,979,472.05
  5. Step 5: Solve for x
    x = 71,979,472.05/9,616.27
  6. Step 6: Final answer
    x = 7,485.18

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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.