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Finding the Fourth Proportional to 6,171.34, 8,514.04 and 3,932.80

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Solution

The fourth proportional to 6,171.34, 8,514.04 and 3,932.80 is: 5,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.34 : 8,514.04 = 3,932.80 : x
  2. Step 2: Convert to fraction form
    6,171.34/8,514.04 = 3,932.80/x
  3. Step 3: Cross multiply
    6,171.34x = 8,514.04 × 3,932.80
  4. Step 4: Simplify right side
    6,171.34x = 33,484,016.51
  5. Step 5: Solve for x
    x = 33,484,016.51/6,171.34
  6. Step 6: Final answer
    x = 5,425.73

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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.