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Finding the Fourth Proportional to 9,944.91, 13,724.06 and 5,468.54

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Solution

The fourth proportional to 9,944.91, 13,724.06 and 5,468.54 is: 7,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.91 : 13,724.06 = 5,468.54 : x
  2. Step 2: Convert to fraction form
    9,944.91/13,724.06 = 5,468.54/x
  3. Step 3: Cross multiply
    9,944.91x = 13,724.06 × 5,468.54
  4. Step 4: Simplify right side
    9,944.91x = 75,050,475.11
  5. Step 5: Solve for x
    x = 75,050,475.11/9,944.91
  6. Step 6: Final answer
    x = 7,546.62

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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.