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Finding the Fourth Proportional to 9,224.56, 12,641.27 and 8,338.88

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Solution

The fourth proportional to 9,224.56, 12,641.27 and 8,338.88 is: 11,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.56 : 12,641.27 = 8,338.88 : x
  2. Step 2: Convert to fraction form
    9,224.56/12,641.27 = 8,338.88/x
  3. Step 3: Cross multiply
    9,224.56x = 12,641.27 × 8,338.88
  4. Step 4: Simplify right side
    9,224.56x = 105,414,033.58
  5. Step 5: Solve for x
    x = 105,414,033.58/9,224.56
  6. Step 6: Final answer
    x = 11,427.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.