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Finding the Fourth Proportional to 9,286.12, 13,858.61 and 8,664.04

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Solution

The fourth proportional to 9,286.12, 13,858.61 and 8,664.04 is: 12,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.12 : 13,858.61 = 8,664.04 : x
  2. Step 2: Convert to fraction form
    9,286.12/13,858.61 = 8,664.04/x
  3. Step 3: Cross multiply
    9,286.12x = 13,858.61 × 8,664.04
  4. Step 4: Simplify right side
    9,286.12x = 120,071,551.38
  5. Step 5: Solve for x
    x = 120,071,551.38/9,286.12
  6. Step 6: Final answer
    x = 12,930.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.