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Finding the Fourth Proportional to 6,194.02, 9,291.09 and 4,959.82

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Solution

The fourth proportional to 6,194.02, 9,291.09 and 4,959.82 is: 7,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.02 : 9,291.09 = 4,959.82 : x
  2. Step 2: Convert to fraction form
    6,194.02/9,291.09 = 4,959.82/x
  3. Step 3: Cross multiply
    6,194.02x = 9,291.09 × 4,959.82
  4. Step 4: Simplify right side
    6,194.02x = 46,082,134.00
  5. Step 5: Solve for x
    x = 46,082,134.00/6,194.02
  6. Step 6: Final answer
    x = 7,439.78

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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.