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Finding the Fourth Proportional to 6,096.86, 8,414.29 and 4,396.77

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Solution

The fourth proportional to 6,096.86, 8,414.29 and 4,396.77 is: 6,067.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.86 : 8,414.29 = 4,396.77 : x
  2. Step 2: Convert to fraction form
    6,096.86/8,414.29 = 4,396.77/x
  3. Step 3: Cross multiply
    6,096.86x = 8,414.29 × 4,396.77
  4. Step 4: Simplify right side
    6,096.86x = 36,995,697.84
  5. Step 5: Solve for x
    x = 36,995,697.84/6,096.86
  6. Step 6: Final answer
    x = 6,067.99

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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.