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Finding the Fourth Proportional to 9,311.37, 13,934.24 and 6,486.49

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Solution

The fourth proportional to 9,311.37, 13,934.24 and 6,486.49 is: 9,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.37 : 13,934.24 = 6,486.49 : x
  2. Step 2: Convert to fraction form
    9,311.37/13,934.24 = 6,486.49/x
  3. Step 3: Cross multiply
    9,311.37x = 13,934.24 × 6,486.49
  4. Step 4: Simplify right side
    9,311.37x = 90,384,317.73
  5. Step 5: Solve for x
    x = 90,384,317.73/9,311.37
  6. Step 6: Final answer
    x = 9,706.88

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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.