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Finding the Fourth Proportional to 9,318.96, 12,855.86 and 8,257.80

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Solution

The fourth proportional to 9,318.96, 12,855.86 and 8,257.80 is: 11,391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.96 : 12,855.86 = 8,257.80 : x
  2. Step 2: Convert to fraction form
    9,318.96/12,855.86 = 8,257.80/x
  3. Step 3: Cross multiply
    9,318.96x = 12,855.86 × 8,257.80
  4. Step 4: Simplify right side
    9,318.96x = 106,161,120.71
  5. Step 5: Solve for x
    x = 106,161,120.71/9,318.96
  6. Step 6: Final answer
    x = 11,391.95

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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.