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Finding the Fourth Proportional to 6,102.93, 9,143.94 and 3,331.54

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Solution

The fourth proportional to 6,102.93, 9,143.94 and 3,331.54 is: 4,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.93 : 9,143.94 = 3,331.54 : x
  2. Step 2: Convert to fraction form
    6,102.93/9,143.94 = 3,331.54/x
  3. Step 3: Cross multiply
    6,102.93x = 9,143.94 × 3,331.54
  4. Step 4: Simplify right side
    6,102.93x = 30,463,385.21
  5. Step 5: Solve for x
    x = 30,463,385.21/6,102.93
  6. Step 6: Final answer
    x = 4,991.60

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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.