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Finding the Fourth Proportional to 6,846.11, 9,447.77 and 4,194.98

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Solution

The fourth proportional to 6,846.11, 9,447.77 and 4,194.98 is: 5,789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.11 : 9,447.77 = 4,194.98 : x
  2. Step 2: Convert to fraction form
    6,846.11/9,447.77 = 4,194.98/x
  3. Step 3: Cross multiply
    6,846.11x = 9,447.77 × 4,194.98
  4. Step 4: Simplify right side
    6,846.11x = 39,633,169.44
  5. Step 5: Solve for x
    x = 39,633,169.44/6,846.11
  6. Step 6: Final answer
    x = 5,789.16

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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.