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Finding the Fourth Proportional to 6,329.09, 8,734.70 and 3,811.21

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Solution

The fourth proportional to 6,329.09, 8,734.70 and 3,811.21 is: 5,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.09 : 8,734.70 = 3,811.21 : x
  2. Step 2: Convert to fraction form
    6,329.09/8,734.70 = 3,811.21/x
  3. Step 3: Cross multiply
    6,329.09x = 8,734.70 × 3,811.21
  4. Step 4: Simplify right side
    6,329.09x = 33,289,763.68
  5. Step 5: Solve for x
    x = 33,289,763.68/6,329.09
  6. Step 6: Final answer
    x = 5,259.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.