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Finding the Fourth Proportional to 6,168.77, 9,242.38 and 5,135.41

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Solution

The fourth proportional to 6,168.77, 9,242.38 and 5,135.41 is: 7,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.77 : 9,242.38 = 5,135.41 : x
  2. Step 2: Convert to fraction form
    6,168.77/9,242.38 = 5,135.41/x
  3. Step 3: Cross multiply
    6,168.77x = 9,242.38 × 5,135.41
  4. Step 4: Simplify right side
    6,168.77x = 47,463,410.68
  5. Step 5: Solve for x
    x = 47,463,410.68/6,168.77
  6. Step 6: Final answer
    x = 7,694.14

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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.