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Finding the Fourth Proportional to 6,194.69, 9,296.26 and 2,497.21

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Solution

The fourth proportional to 6,194.69, 9,296.26 and 2,497.21 is: 3,747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.69 : 9,296.26 = 2,497.21 : x
  2. Step 2: Convert to fraction form
    6,194.69/9,296.26 = 2,497.21/x
  3. Step 3: Cross multiply
    6,194.69x = 9,296.26 × 2,497.21
  4. Step 4: Simplify right side
    6,194.69x = 23,214,683.95
  5. Step 5: Solve for x
    x = 23,214,683.95/6,194.69
  6. Step 6: Final answer
    x = 3,747.52

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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.