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Finding the Fourth Proportional to 9,222.53, 12,727.23 and 5,243.64

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Solution

The fourth proportional to 9,222.53, 12,727.23 and 5,243.64 is: 7,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.53 : 12,727.23 = 5,243.64 : x
  2. Step 2: Convert to fraction form
    9,222.53/12,727.23 = 5,243.64/x
  3. Step 3: Cross multiply
    9,222.53x = 12,727.23 × 5,243.64
  4. Step 4: Simplify right side
    9,222.53x = 66,736,944.93
  5. Step 5: Solve for x
    x = 66,736,944.93/9,222.53
  6. Step 6: Final answer
    x = 7,236.29

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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.