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Finding the Fourth Proportional to 9,251.75, 12,767.56 and 5,474.81

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Solution

The fourth proportional to 9,251.75, 12,767.56 and 5,474.81 is: 7,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.75 : 12,767.56 = 5,474.81 : x
  2. Step 2: Convert to fraction form
    9,251.75/12,767.56 = 5,474.81/x
  3. Step 3: Cross multiply
    9,251.75x = 12,767.56 × 5,474.81
  4. Step 4: Simplify right side
    9,251.75x = 69,899,983.40
  5. Step 5: Solve for x
    x = 69,899,983.40/9,251.75
  6. Step 6: Final answer
    x = 7,555.32

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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.