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Finding the Fourth Proportional to 9,728.49, 13,424.31 and 5,478.87

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Solution

The fourth proportional to 9,728.49, 13,424.31 and 5,478.87 is: 7,560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.49 : 13,424.31 = 5,478.87 : x
  2. Step 2: Convert to fraction form
    9,728.49/13,424.31 = 5,478.87/x
  3. Step 3: Cross multiply
    9,728.49x = 13,424.31 × 5,478.87
  4. Step 4: Simplify right side
    9,728.49x = 73,550,049.33
  5. Step 5: Solve for x
    x = 73,550,049.33/9,728.49
  6. Step 6: Final answer
    x = 7,560.27

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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.