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Finding the Fourth Proportional to 6,683.78, 9,223.25 and 3,995.06

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Solution

The fourth proportional to 6,683.78, 9,223.25 and 3,995.06 is: 5,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.78 : 9,223.25 = 3,995.06 : x
  2. Step 2: Convert to fraction form
    6,683.78/9,223.25 = 3,995.06/x
  3. Step 3: Cross multiply
    6,683.78x = 9,223.25 × 3,995.06
  4. Step 4: Simplify right side
    6,683.78x = 36,847,371.05
  5. Step 5: Solve for x
    x = 36,847,371.05/6,683.78
  6. Step 6: Final answer
    x = 5,512.96

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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.