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Finding the Fourth Proportional to 9,944.67, 13,723.74 and 5,468.45

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Solution

The fourth proportional to 9,944.67, 13,723.74 and 5,468.45 is: 7,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.67 : 13,723.74 = 5,468.45 : x
  2. Step 2: Convert to fraction form
    9,944.67/13,723.74 = 5,468.45/x
  3. Step 3: Cross multiply
    9,944.67x = 13,723.74 × 5,468.45
  4. Step 4: Simplify right side
    9,944.67x = 75,047,565.67
  5. Step 5: Solve for x
    x = 75,047,565.67/9,944.67
  6. Step 6: Final answer
    x = 7,546.51

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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.