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Finding the Fourth Proportional to 9,286.18, 13,929.22 and 3,286.70

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Solution

The fourth proportional to 9,286.18, 13,929.22 and 3,286.70 is: 4,930.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.18 : 13,929.22 = 3,286.70 : x
  2. Step 2: Convert to fraction form
    9,286.18/13,929.22 = 3,286.70/x
  3. Step 3: Cross multiply
    9,286.18x = 13,929.22 × 3,286.70
  4. Step 4: Simplify right side
    9,286.18x = 45,781,154.07
  5. Step 5: Solve for x
    x = 45,781,154.07/9,286.18
  6. Step 6: Final answer
    x = 4,930.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.