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Finding the Fourth Proportional to 9,396.54, 12,950.99 and 8,194.03

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Solution

The fourth proportional to 9,396.54, 12,950.99 and 8,194.03 is: 11,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.54 : 12,950.99 = 8,194.03 : x
  2. Step 2: Convert to fraction form
    9,396.54/12,950.99 = 8,194.03/x
  3. Step 3: Cross multiply
    9,396.54x = 12,950.99 × 8,194.03
  4. Step 4: Simplify right side
    9,396.54x = 106,120,757.97
  5. Step 5: Solve for x
    x = 106,120,757.97/9,396.54
  6. Step 6: Final answer
    x = 11,293.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.