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Finding the Fourth Proportional to 9,229.56, 12,736.84 and 5,037.82

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Solution

The fourth proportional to 9,229.56, 12,736.84 and 5,037.82 is: 6,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.56 : 12,736.84 = 5,037.82 : x
  2. Step 2: Convert to fraction form
    9,229.56/12,736.84 = 5,037.82/x
  3. Step 3: Cross multiply
    9,229.56x = 12,736.84 × 5,037.82
  4. Step 4: Simplify right side
    9,229.56x = 64,165,907.29
  5. Step 5: Solve for x
    x = 64,165,907.29/9,229.56
  6. Step 6: Final answer
    x = 6,952.22

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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.