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Finding the Fourth Proportional to 6,399.86, 8,831.85 and 3,747.32

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Solution

The fourth proportional to 6,399.86, 8,831.85 and 3,747.32 is: 5,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.86 : 8,831.85 = 3,747.32 : x
  2. Step 2: Convert to fraction form
    6,399.86/8,831.85 = 3,747.32/x
  3. Step 3: Cross multiply
    6,399.86x = 8,831.85 × 3,747.32
  4. Step 4: Simplify right side
    6,399.86x = 33,095,723.98
  5. Step 5: Solve for x
    x = 33,095,723.98/6,399.86
  6. Step 6: Final answer
    x = 5,171.32

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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.