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Finding the Fourth Proportional to 6,737.10, 9,297.18 and 3,753.06

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Solution

The fourth proportional to 6,737.10, 9,297.18 and 3,753.06 is: 5,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.10 : 9,297.18 = 3,753.06 : x
  2. Step 2: Convert to fraction form
    6,737.10/9,297.18 = 3,753.06/x
  3. Step 3: Cross multiply
    6,737.10x = 9,297.18 × 3,753.06
  4. Step 4: Simplify right side
    6,737.10x = 34,892,874.37
  5. Step 5: Solve for x
    x = 34,892,874.37/6,737.10
  6. Step 6: Final answer
    x = 5,179.21

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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.