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Finding the Fourth Proportional to 9,266.41, 12,785.77 and 5,286.79

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Solution

The fourth proportional to 9,266.41, 12,785.77 and 5,286.79 is: 7,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.41 : 12,785.77 = 5,286.79 : x
  2. Step 2: Convert to fraction form
    9,266.41/12,785.77 = 5,286.79/x
  3. Step 3: Cross multiply
    9,266.41x = 12,785.77 × 5,286.79
  4. Step 4: Simplify right side
    9,266.41x = 67,595,680.98
  5. Step 5: Solve for x
    x = 67,595,680.98/9,266.41
  6. Step 6: Final answer
    x = 7,294.70

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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.