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Finding the Fourth Proportional to 6,284.80, 9,409.92 and 3,191.68

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Solution

The fourth proportional to 6,284.80, 9,409.92 and 3,191.68 is: 4,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.80 : 9,409.92 = 3,191.68 : x
  2. Step 2: Convert to fraction form
    6,284.80/9,409.92 = 3,191.68/x
  3. Step 3: Cross multiply
    6,284.80x = 9,409.92 × 3,191.68
  4. Step 4: Simplify right side
    6,284.80x = 30,033,453.47
  5. Step 5: Solve for x
    x = 30,033,453.47/6,284.80
  6. Step 6: Final answer
    x = 4,778.74

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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.