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Finding the Fourth Proportional to 9,947.21, 13,727.12 and 5,471.01

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Solution

The fourth proportional to 9,947.21, 13,727.12 and 5,471.01 is: 7,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.21 : 13,727.12 = 5,471.01 : x
  2. Step 2: Convert to fraction form
    9,947.21/13,727.12 = 5,471.01/x
  3. Step 3: Cross multiply
    9,947.21x = 13,727.12 × 5,471.01
  4. Step 4: Simplify right side
    9,947.21x = 75,101,183.44
  5. Step 5: Solve for x
    x = 75,101,183.44/9,947.21
  6. Step 6: Final answer
    x = 7,549.98

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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.