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Finding the Fourth Proportional to 9,383.44, 12,949.55 and 5,191.69

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Solution

The fourth proportional to 9,383.44, 12,949.55 and 5,191.69 is: 7,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.44 : 12,949.55 = 5,191.69 : x
  2. Step 2: Convert to fraction form
    9,383.44/12,949.55 = 5,191.69/x
  3. Step 3: Cross multiply
    9,383.44x = 12,949.55 × 5,191.69
  4. Step 4: Simplify right side
    9,383.44x = 67,230,010.38
  5. Step 5: Solve for x
    x = 67,230,010.38/9,383.44
  6. Step 6: Final answer
    x = 7,164.75

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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.