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Finding the Fourth Proportional to 9,286.74, 12,826.22 and 6,297.39

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Solution

The fourth proportional to 9,286.74, 12,826.22 and 6,297.39 is: 8,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.74 : 12,826.22 = 6,297.39 : x
  2. Step 2: Convert to fraction form
    9,286.74/12,826.22 = 6,297.39/x
  3. Step 3: Cross multiply
    9,286.74x = 12,826.22 × 6,297.39
  4. Step 4: Simplify right side
    9,286.74x = 80,771,678.08
  5. Step 5: Solve for x
    x = 80,771,678.08/9,286.74
  6. Step 6: Final answer
    x = 8,697.53

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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.