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Finding the Fourth Proportional to 6,376.32, 9,563.81 and 3,906.83

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Solution

The fourth proportional to 6,376.32, 9,563.81 and 3,906.83 is: 5,859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.32 : 9,563.81 = 3,906.83 : x
  2. Step 2: Convert to fraction form
    6,376.32/9,563.81 = 3,906.83/x
  3. Step 3: Cross multiply
    6,376.32x = 9,563.81 × 3,906.83
  4. Step 4: Simplify right side
    6,376.32x = 37,364,184.20
  5. Step 5: Solve for x
    x = 37,364,184.20/6,376.32
  6. Step 6: Final answer
    x = 5,859.84

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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.