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Finding the Fourth Proportional to 9,227.64, 12,733.00 and 5,193.97

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Solution

The fourth proportional to 9,227.64, 12,733.00 and 5,193.97 is: 7,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.64 : 12,733.00 = 5,193.97 : x
  2. Step 2: Convert to fraction form
    9,227.64/12,733.00 = 5,193.97/x
  3. Step 3: Cross multiply
    9,227.64x = 12,733.00 × 5,193.97
  4. Step 4: Simplify right side
    9,227.64x = 66,134,846.82
  5. Step 5: Solve for x
    x = 66,134,846.82/9,227.64
  6. Step 6: Final answer
    x = 7,167.04

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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.