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Finding the Fourth Proportional to 6,617.94, 9,137.04 and 4,102.73

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Solution

The fourth proportional to 6,617.94, 9,137.04 and 4,102.73 is: 5,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.94 : 9,137.04 = 4,102.73 : x
  2. Step 2: Convert to fraction form
    6,617.94/9,137.04 = 4,102.73/x
  3. Step 3: Cross multiply
    6,617.94x = 9,137.04 × 4,102.73
  4. Step 4: Simplify right side
    6,617.94x = 37,486,781.31
  5. Step 5: Solve for x
    x = 37,486,781.31/6,617.94
  6. Step 6: Final answer
    x = 5,664.42

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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.