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Finding the Fourth Proportional to 6,092.44, 9,139 and 1,932.15

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Solution

The fourth proportional to 6,092.44, 9,139 and 1,932.15 is: 2,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.44 : 9,139 = 1,932.15 : x
  2. Step 2: Convert to fraction form
    6,092.44/9,139 = 1,932.15/x
  3. Step 3: Cross multiply
    6,092.44x = 9,139 × 1,932.15
  4. Step 4: Simplify right side
    6,092.44x = 17,657,918.85
  5. Step 5: Solve for x
    x = 17,657,918.85/6,092.44
  6. Step 6: Final answer
    x = 2,898.33

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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.