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Finding the Fourth Proportional to 9,340.83, 13,942.49 and 8,233.56

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Solution

The fourth proportional to 9,340.83, 13,942.49 and 8,233.56 is: 12,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.83 : 13,942.49 = 8,233.56 : x
  2. Step 2: Convert to fraction form
    9,340.83/13,942.49 = 8,233.56/x
  3. Step 3: Cross multiply
    9,340.83x = 13,942.49 × 8,233.56
  4. Step 4: Simplify right side
    9,340.83x = 114,796,286.80
  5. Step 5: Solve for x
    x = 114,796,286.80/9,340.83
  6. Step 6: Final answer
    x = 12,289.73

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1.5x scale

Why These Related Problems?

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