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Finding the Fourth Proportional to 10,194.01, 14,067.80 and 5,947.54

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Solution

The fourth proportional to 10,194.01, 14,067.80 and 5,947.54 is: 8,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.01 : 14,067.80 = 5,947.54 : x
  2. Step 2: Convert to fraction form
    10,194.01/14,067.80 = 5,947.54/x
  3. Step 3: Cross multiply
    10,194.01x = 14,067.80 × 5,947.54
  4. Step 4: Simplify right side
    10,194.01x = 83,668,803.21
  5. Step 5: Solve for x
    x = 83,668,803.21/10,194.01
  6. Step 6: Final answer
    x = 8,207.64

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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.