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Finding the Fourth Proportional to 6,122.18, 8,447.14 and 3,883.24

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Solution

The fourth proportional to 6,122.18, 8,447.14 and 3,883.24 is: 5,357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.18 : 8,447.14 = 3,883.24 : x
  2. Step 2: Convert to fraction form
    6,122.18/8,447.14 = 3,883.24/x
  3. Step 3: Cross multiply
    6,122.18x = 8,447.14 × 3,883.24
  4. Step 4: Simplify right side
    6,122.18x = 32,802,252.52
  5. Step 5: Solve for x
    x = 32,802,252.52/6,122.18
  6. Step 6: Final answer
    x = 5,357.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.