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Finding the Fourth Proportional to 6,191.76, 9,287.82 and 2,906.40

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Solution

The fourth proportional to 6,191.76, 9,287.82 and 2,906.40 is: 4,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.76 : 9,287.82 = 2,906.40 : x
  2. Step 2: Convert to fraction form
    6,191.76/9,287.82 = 2,906.40/x
  3. Step 3: Cross multiply
    6,191.76x = 9,287.82 × 2,906.40
  4. Step 4: Simplify right side
    6,191.76x = 26,994,120.05
  5. Step 5: Solve for x
    x = 26,994,120.05/6,191.76
  6. Step 6: Final answer
    x = 4,359.68

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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.