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Finding the Fourth Proportional to 9,221.77, 12,727.12 and 5,243.48

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Solution

The fourth proportional to 9,221.77, 12,727.12 and 5,243.48 is: 7,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.77 : 12,727.12 = 5,243.48 : x
  2. Step 2: Convert to fraction form
    9,221.77/12,727.12 = 5,243.48/x
  3. Step 3: Cross multiply
    9,221.77x = 12,727.12 × 5,243.48
  4. Step 4: Simplify right side
    9,221.77x = 66,734,399.18
  5. Step 5: Solve for x
    x = 66,734,399.18/9,221.77
  6. Step 6: Final answer
    x = 7,236.62

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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.