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Finding the Fourth Proportional to 6,473.46, 8,933.34 and 3,640.83

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Solution

The fourth proportional to 6,473.46, 8,933.34 and 3,640.83 is: 5,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.46 : 8,933.34 = 3,640.83 : x
  2. Step 2: Convert to fraction form
    6,473.46/8,933.34 = 3,640.83/x
  3. Step 3: Cross multiply
    6,473.46x = 8,933.34 × 3,640.83
  4. Step 4: Simplify right side
    6,473.46x = 32,524,772.27
  5. Step 5: Solve for x
    x = 32,524,772.27/6,473.46
  6. Step 6: Final answer
    x = 5,024.33

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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.