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Finding the Fourth Proportional to 8,665.96, 12,994.14 and 4,046.44

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Solution

The fourth proportional to 8,665.96, 12,994.14 and 4,046.44 is: 6,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.96 : 12,994.14 = 4,046.44 : x
  2. Step 2: Convert to fraction form
    8,665.96/12,994.14 = 4,046.44/x
  3. Step 3: Cross multiply
    8,665.96x = 12,994.14 × 4,046.44
  4. Step 4: Simplify right side
    8,665.96x = 52,580,007.86
  5. Step 5: Solve for x
    x = 52,580,007.86/8,665.96
  6. Step 6: Final answer
    x = 6,067.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.