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Finding the Fourth Proportional to 9,680.41, 13,361.81 and 6,323.73

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Solution

The fourth proportional to 9,680.41, 13,361.81 and 6,323.73 is: 8,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.41 : 13,361.81 = 6,323.73 : x
  2. Step 2: Convert to fraction form
    9,680.41/13,361.81 = 6,323.73/x
  3. Step 3: Cross multiply
    9,680.41x = 13,361.81 × 6,323.73
  4. Step 4: Simplify right side
    9,680.41x = 84,496,478.75
  5. Step 5: Solve for x
    x = 84,496,478.75/9,680.41
  6. Step 6: Final answer
    x = 8,728.61

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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.