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Finding the Fourth Proportional to 6,169.13, 8,514.33 and 3,932

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Solution

The fourth proportional to 6,169.13, 8,514.33 and 3,932 is: 5,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.13 : 8,514.33 = 3,932 : x
  2. Step 2: Convert to fraction form
    6,169.13/8,514.33 = 3,932/x
  3. Step 3: Cross multiply
    6,169.13x = 8,514.33 × 3,932
  4. Step 4: Simplify right side
    6,169.13x = 33,478,345.56
  5. Step 5: Solve for x
    x = 33,478,345.56/6,169.13
  6. Step 6: Final answer
    x = 5,426.75

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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.