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Finding the Fourth Proportional to 6,331.42, 8,737.66 and 3,814.31

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Solution

The fourth proportional to 6,331.42, 8,737.66 and 3,814.31 is: 5,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.42 : 8,737.66 = 3,814.31 : x
  2. Step 2: Convert to fraction form
    6,331.42/8,737.66 = 3,814.31/x
  3. Step 3: Cross multiply
    6,331.42x = 8,737.66 × 3,814.31
  4. Step 4: Simplify right side
    6,331.42x = 33,328,099.92
  5. Step 5: Solve for x
    x = 33,328,099.92/6,331.42
  6. Step 6: Final answer
    x = 5,263.93

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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.