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Finding the Fourth Proportional to 6,193.93, 9,292.04 and 2,034.17

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Solution

The fourth proportional to 6,193.93, 9,292.04 and 2,034.17 is: 3,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.93 : 9,292.04 = 2,034.17 : x
  2. Step 2: Convert to fraction form
    6,193.93/9,292.04 = 2,034.17/x
  3. Step 3: Cross multiply
    6,193.93x = 9,292.04 × 2,034.17
  4. Step 4: Simplify right side
    6,193.93x = 18,901,589.01
  5. Step 5: Solve for x
    x = 18,901,589.01/6,193.93
  6. Step 6: Final answer
    x = 3,051.63

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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.