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Finding the Fourth Proportional to 6,454.08, 9,685.44 and 3,169.44

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Solution

The fourth proportional to 6,454.08, 9,685.44 and 3,169.44 is: 4,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.08 : 9,685.44 = 3,169.44 : x
  2. Step 2: Convert to fraction form
    6,454.08/9,685.44 = 3,169.44/x
  3. Step 3: Cross multiply
    6,454.08x = 9,685.44 × 3,169.44
  4. Step 4: Simplify right side
    6,454.08x = 30,697,420.95
  5. Step 5: Solve for x
    x = 30,697,420.95/6,454.08
  6. Step 6: Final answer
    x = 4,756.28

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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.