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Finding the Fourth Proportional to 9,451.46, 14,094.83 and 8,286.87

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Solution

The fourth proportional to 9,451.46, 14,094.83 and 8,286.87 is: 12,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.46 : 14,094.83 = 8,286.87 : x
  2. Step 2: Convert to fraction form
    9,451.46/14,094.83 = 8,286.87/x
  3. Step 3: Cross multiply
    9,451.46x = 14,094.83 × 8,286.87
  4. Step 4: Simplify right side
    9,451.46x = 116,801,982.45
  5. Step 5: Solve for x
    x = 116,801,982.45/9,451.46
  6. Step 6: Final answer
    x = 12,358.10

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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.