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Finding the Fourth Proportional to 6,196.86, 9,295.68 and 2,499.12

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Solution

The fourth proportional to 6,196.86, 9,295.68 and 2,499.12 is: 3,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.86 : 9,295.68 = 2,499.12 : x
  2. Step 2: Convert to fraction form
    6,196.86/9,295.68 = 2,499.12/x
  3. Step 3: Cross multiply
    6,196.86x = 9,295.68 × 2,499.12
  4. Step 4: Simplify right side
    6,196.86x = 23,231,019.80
  5. Step 5: Solve for x
    x = 23,231,019.80/6,196.86
  6. Step 6: Final answer
    x = 3,748.84

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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.