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Finding the Fourth Proportional to 9,306.82, 12,826.11 and 6,322.78

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Solution

The fourth proportional to 9,306.82, 12,826.11 and 6,322.78 is: 8,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.82 : 12,826.11 = 6,322.78 : x
  2. Step 2: Convert to fraction form
    9,306.82/12,826.11 = 6,322.78/x
  3. Step 3: Cross multiply
    9,306.82x = 12,826.11 × 6,322.78
  4. Step 4: Simplify right side
    9,306.82x = 81,096,671.79
  5. Step 5: Solve for x
    x = 81,096,671.79/9,306.82
  6. Step 6: Final answer
    x = 8,713.68

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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.