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Finding the Fourth Proportional to 6,196.05, 9,294.47 and 2,498.27

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Solution

The fourth proportional to 6,196.05, 9,294.47 and 2,498.27 is: 3,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.05 : 9,294.47 = 2,498.27 : x
  2. Step 2: Convert to fraction form
    6,196.05/9,294.47 = 2,498.27/x
  3. Step 3: Cross multiply
    6,196.05x = 9,294.47 × 2,498.27
  4. Step 4: Simplify right side
    6,196.05x = 23,220,036.60
  5. Step 5: Solve for x
    x = 23,220,036.60/6,196.05
  6. Step 6: Final answer
    x = 3,747.55

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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.