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Finding the Fourth Proportional to 8,194.44, 11,305.62 and 6,408.36

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Solution

The fourth proportional to 8,194.44, 11,305.62 and 6,408.36 is: 8,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.44 : 11,305.62 = 6,408.36 : x
  2. Step 2: Convert to fraction form
    8,194.44/11,305.62 = 6,408.36/x
  3. Step 3: Cross multiply
    8,194.44x = 11,305.62 × 6,408.36
  4. Step 4: Simplify right side
    8,194.44x = 72,450,482.98
  5. Step 5: Solve for x
    x = 72,450,482.98/8,194.44
  6. Step 6: Final answer
    x = 8,841.42

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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.