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Finding the Fourth Proportional to 6,093.77, 8,406.18 and 4,202.06

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Solution

The fourth proportional to 6,093.77, 8,406.18 and 4,202.06 is: 5,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.77 : 8,406.18 = 4,202.06 : x
  2. Step 2: Convert to fraction form
    6,093.77/8,406.18 = 4,202.06/x
  3. Step 3: Cross multiply
    6,093.77x = 8,406.18 × 4,202.06
  4. Step 4: Simplify right side
    6,093.77x = 35,323,272.73
  5. Step 5: Solve for x
    x = 35,323,272.73/6,093.77
  6. Step 6: Final answer
    x = 5,796.62

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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.