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Finding the Fourth Proportional to 8,174.41, 12,266.04 and 6,329.13

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Solution

The fourth proportional to 8,174.41, 12,266.04 and 6,329.13 is: 9,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.41 : 12,266.04 = 6,329.13 : x
  2. Step 2: Convert to fraction form
    8,174.41/12,266.04 = 6,329.13/x
  3. Step 3: Cross multiply
    8,174.41x = 12,266.04 × 6,329.13
  4. Step 4: Simplify right side
    8,174.41x = 77,633,361.75
  5. Step 5: Solve for x
    x = 77,633,361.75/8,174.41
  6. Step 6: Final answer
    x = 9,497.12

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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.