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Finding the Fourth Proportional to 6,194.18, 9,288.84 and 2,729

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Solution

The fourth proportional to 6,194.18, 9,288.84 and 2,729 is: 4,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.18 : 9,288.84 = 2,729 : x
  2. Step 2: Convert to fraction form
    6,194.18/9,288.84 = 2,729/x
  3. Step 3: Cross multiply
    6,194.18x = 9,288.84 × 2,729
  4. Step 4: Simplify right side
    6,194.18x = 25,349,244.36
  5. Step 5: Solve for x
    x = 25,349,244.36/6,194.18
  6. Step 6: Final answer
    x = 4,092.43

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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.