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Finding the Fourth Proportional to 6,644.17, 9,102.56 and 6,395.05

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Solution

The fourth proportional to 6,644.17, 9,102.56 and 6,395.05 is: 8,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.17 : 9,102.56 = 6,395.05 : x
  2. Step 2: Convert to fraction form
    6,644.17/9,102.56 = 6,395.05/x
  3. Step 3: Cross multiply
    6,644.17x = 9,102.56 × 6,395.05
  4. Step 4: Simplify right side
    6,644.17x = 58,211,310.34
  5. Step 5: Solve for x
    x = 58,211,310.34/6,644.17
  6. Step 6: Final answer
    x = 8,761.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.