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Finding the Fourth Proportional to 6,193.88, 9,291.96 and 2,034.12

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Solution

The fourth proportional to 6,193.88, 9,291.96 and 2,034.12 is: 3,051.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.88 : 9,291.96 = 2,034.12 : x
  2. Step 2: Convert to fraction form
    6,193.88/9,291.96 = 2,034.12/x
  3. Step 3: Cross multiply
    6,193.88x = 9,291.96 × 2,034.12
  4. Step 4: Simplify right side
    6,193.88x = 18,900,961.68
  5. Step 5: Solve for x
    x = 18,900,961.68/6,193.88
  6. Step 6: Final answer
    x = 3,051.56

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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.