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Finding the Fourth Proportional to 6,196.24, 9,293.24 and 2,498.32

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Solution

The fourth proportional to 6,196.24, 9,293.24 and 2,498.32 is: 3,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.24 : 9,293.24 = 2,498.32 : x
  2. Step 2: Convert to fraction form
    6,196.24/9,293.24 = 2,498.32/x
  3. Step 3: Cross multiply
    6,196.24x = 9,293.24 × 2,498.32
  4. Step 4: Simplify right side
    6,196.24x = 23,217,487.36
  5. Step 5: Solve for x
    x = 23,217,487.36/6,196.24
  6. Step 6: Final answer
    x = 3,747.03

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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.