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Finding the Fourth Proportional to 9,266.82, 12,785.46 and 5,286.48

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Solution

The fourth proportional to 9,266.82, 12,785.46 and 5,286.48 is: 7,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.82 : 12,785.46 = 5,286.48 : x
  2. Step 2: Convert to fraction form
    9,266.82/12,785.46 = 5,286.48/x
  3. Step 3: Cross multiply
    9,266.82x = 12,785.46 × 5,286.48
  4. Step 4: Simplify right side
    9,266.82x = 67,590,078.58
  5. Step 5: Solve for x
    x = 67,590,078.58/9,266.82
  6. Step 6: Final answer
    x = 7,293.77

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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.