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Finding the Fourth Proportional to 6,196.44, 9,296.01 and 2,498.79

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Solution

The fourth proportional to 6,196.44, 9,296.01 and 2,498.79 is: 3,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.44 : 9,296.01 = 2,498.79 : x
  2. Step 2: Convert to fraction form
    6,196.44/9,296.01 = 2,498.79/x
  3. Step 3: Cross multiply
    6,196.44x = 9,296.01 × 2,498.79
  4. Step 4: Simplify right side
    6,196.44x = 23,228,776.83
  5. Step 5: Solve for x
    x = 23,228,776.83/6,196.44
  6. Step 6: Final answer
    x = 3,748.73

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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.