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Finding the Fourth Proportional to 8,122.23, 12,164.85 and 6,356.22

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Solution

The fourth proportional to 8,122.23, 12,164.85 and 6,356.22 is: 9,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.23 : 12,164.85 = 6,356.22 : x
  2. Step 2: Convert to fraction form
    8,122.23/12,164.85 = 6,356.22/x
  3. Step 3: Cross multiply
    8,122.23x = 12,164.85 × 6,356.22
  4. Step 4: Simplify right side
    8,122.23x = 77,322,462.87
  5. Step 5: Solve for x
    x = 77,322,462.87/8,122.23
  6. Step 6: Final answer
    x = 9,519.86

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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.