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Finding the Fourth Proportional to 9,383.50, 12,949.32 and 5,191.84

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Solution

The fourth proportional to 9,383.50, 12,949.32 and 5,191.84 is: 7,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.50 : 12,949.32 = 5,191.84 : x
  2. Step 2: Convert to fraction form
    9,383.50/12,949.32 = 5,191.84/x
  3. Step 3: Cross multiply
    9,383.50x = 12,949.32 × 5,191.84
  4. Step 4: Simplify right side
    9,383.50x = 67,230,797.55
  5. Step 5: Solve for x
    x = 67,230,797.55/9,383.50
  6. Step 6: Final answer
    x = 7,164.79

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