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Finding the Fourth Proportional to 9,271.56, 13,906.48 and 3,727.92

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Solution

The fourth proportional to 9,271.56, 13,906.48 and 3,727.92 is: 5,591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.56 : 13,906.48 = 3,727.92 : x
  2. Step 2: Convert to fraction form
    9,271.56/13,906.48 = 3,727.92/x
  3. Step 3: Cross multiply
    9,271.56x = 13,906.48 × 3,727.92
  4. Step 4: Simplify right side
    9,271.56x = 51,842,244.92
  5. Step 5: Solve for x
    x = 51,842,244.92/9,271.56
  6. Step 6: Final answer
    x = 5,591.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.