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Finding the Fourth Proportional to 6,705.85, 9,251.93 and 3,872.85

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Solution

The fourth proportional to 6,705.85, 9,251.93 and 3,872.85 is: 5,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.85 : 9,251.93 = 3,872.85 : x
  2. Step 2: Convert to fraction form
    6,705.85/9,251.93 = 3,872.85/x
  3. Step 3: Cross multiply
    6,705.85x = 9,251.93 × 3,872.85
  4. Step 4: Simplify right side
    6,705.85x = 35,831,290.30
  5. Step 5: Solve for x
    x = 35,831,290.30/6,705.85
  6. Step 6: Final answer
    x = 5,343.29

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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.