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Finding the Fourth Proportional to 9,944.60, 13,723.36 and 5,468.31

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Solution

The fourth proportional to 9,944.60, 13,723.36 and 5,468.31 is: 7,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.60 : 13,723.36 = 5,468.31 : x
  2. Step 2: Convert to fraction form
    9,944.60/13,723.36 = 5,468.31/x
  3. Step 3: Cross multiply
    9,944.60x = 13,723.36 × 5,468.31
  4. Step 4: Simplify right side
    9,944.60x = 75,043,586.72
  5. Step 5: Solve for x
    x = 75,043,586.72/9,944.60
  6. Step 6: Final answer
    x = 7,546.16

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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.