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Finding the Fourth Proportional to 6,196.94, 9,293.10 and 2,497.92

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Solution

The fourth proportional to 6,196.94, 9,293.10 and 2,497.92 is: 3,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.94 : 9,293.10 = 2,497.92 : x
  2. Step 2: Convert to fraction form
    6,196.94/9,293.10 = 2,497.92/x
  3. Step 3: Cross multiply
    6,196.94x = 9,293.10 × 2,497.92
  4. Step 4: Simplify right side
    6,196.94x = 23,213,420.35
  5. Step 5: Solve for x
    x = 23,213,420.35/6,196.94
  6. Step 6: Final answer
    x = 3,745.95

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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.