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Finding the Fourth Proportional to 9,944.56, 13,723.62 and 5,468.50

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Solution

The fourth proportional to 9,944.56, 13,723.62 and 5,468.50 is: 7,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.56 : 13,723.62 = 5,468.50 : x
  2. Step 2: Convert to fraction form
    9,944.56/13,723.62 = 5,468.50/x
  3. Step 3: Cross multiply
    9,944.56x = 13,723.62 × 5,468.50
  4. Step 4: Simplify right side
    9,944.56x = 75,047,615.97
  5. Step 5: Solve for x
    x = 75,047,615.97/9,944.56
  6. Step 6: Final answer
    x = 7,546.60

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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.