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Finding the Fourth Proportional to 9,944.42, 13,723.63 and 5,468.36

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Solution

The fourth proportional to 9,944.42, 13,723.63 and 5,468.36 is: 7,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.42 : 13,723.63 = 5,468.36 : x
  2. Step 2: Convert to fraction form
    9,944.42/13,723.63 = 5,468.36/x
  3. Step 3: Cross multiply
    9,944.42x = 13,723.63 × 5,468.36
  4. Step 4: Simplify right side
    9,944.42x = 75,045,667.06
  5. Step 5: Solve for x
    x = 75,045,667.06/9,944.42
  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.