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Finding the Fourth Proportional to 6,238.68, 9,361.86 and 2,906.34

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Solution

The fourth proportional to 6,238.68, 9,361.86 and 2,906.34 is: 4,361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.68 : 9,361.86 = 2,906.34 : x
  2. Step 2: Convert to fraction form
    6,238.68/9,361.86 = 2,906.34/x
  3. Step 3: Cross multiply
    6,238.68x = 9,361.86 × 2,906.34
  4. Step 4: Simplify right side
    6,238.68x = 27,208,748.19
  5. Step 5: Solve for x
    x = 27,208,748.19/6,238.68
  6. Step 6: Final answer
    x = 4,361.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.