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Finding the Fourth Proportional to 6,174.97, 9,263.06 and 2,014.81

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Solution

The fourth proportional to 6,174.97, 9,263.06 and 2,014.81 is: 3,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.97 : 9,263.06 = 2,014.81 : x
  2. Step 2: Convert to fraction form
    6,174.97/9,263.06 = 2,014.81/x
  3. Step 3: Cross multiply
    6,174.97x = 9,263.06 × 2,014.81
  4. Step 4: Simplify right side
    6,174.97x = 18,663,249.53
  5. Step 5: Solve for x
    x = 18,663,249.53/6,174.97
  6. Step 6: Final answer
    x = 3,022.41

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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.