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Finding the Fourth Proportional to 6,192.29, 8,538.05 and 5,069.09

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Solution

The fourth proportional to 6,192.29, 8,538.05 and 5,069.09 is: 6,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.29 : 8,538.05 = 5,069.09 : x
  2. Step 2: Convert to fraction form
    6,192.29/8,538.05 = 5,069.09/x
  3. Step 3: Cross multiply
    6,192.29x = 8,538.05 × 5,069.09
  4. Step 4: Simplify right side
    6,192.29x = 43,280,118.53
  5. Step 5: Solve for x
    x = 43,280,118.53/6,192.29
  6. Step 6: Final answer
    x = 6,989.36

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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.