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Finding the Fourth Proportional to 6,706.39, 9,254.82 and 3,912.43

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Solution

The fourth proportional to 6,706.39, 9,254.82 and 3,912.43 is: 5,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.39 : 9,254.82 = 3,912.43 : x
  2. Step 2: Convert to fraction form
    6,706.39/9,254.82 = 3,912.43/x
  3. Step 3: Cross multiply
    6,706.39x = 9,254.82 × 3,912.43
  4. Step 4: Simplify right side
    6,706.39x = 36,208,835.41
  5. Step 5: Solve for x
    x = 36,208,835.41/6,706.39
  6. Step 6: Final answer
    x = 5,399.15

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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.