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Finding the Fourth Proportional to 9,122.70, 13,651.65 and 6,336.30

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Solution

The fourth proportional to 9,122.70, 13,651.65 and 6,336.30 is: 9,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.70 : 13,651.65 = 6,336.30 : x
  2. Step 2: Convert to fraction form
    9,122.70/13,651.65 = 6,336.30/x
  3. Step 3: Cross multiply
    9,122.70x = 13,651.65 × 6,336.30
  4. Step 4: Simplify right side
    9,122.70x = 86,500,949.90
  5. Step 5: Solve for x
    x = 86,500,949.90/9,122.70
  6. Step 6: Final answer
    x = 9,481.95

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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.