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Finding the Fourth Proportional to 6,102.17, 8,420.63 and 3,944.90

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Solution

The fourth proportional to 6,102.17, 8,420.63 and 3,944.90 is: 5,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.17 : 8,420.63 = 3,944.90 : x
  2. Step 2: Convert to fraction form
    6,102.17/8,420.63 = 3,944.90/x
  3. Step 3: Cross multiply
    6,102.17x = 8,420.63 × 3,944.90
  4. Step 4: Simplify right side
    6,102.17x = 33,218,544.61
  5. Step 5: Solve for x
    x = 33,218,544.61/6,102.17
  6. Step 6: Final answer
    x = 5,443.73

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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.