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Finding the Fourth Proportional to 6,308.68, 9,464.16 and 2,608.90

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Solution

The fourth proportional to 6,308.68, 9,464.16 and 2,608.90 is: 3,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.68 : 9,464.16 = 2,608.90 : x
  2. Step 2: Convert to fraction form
    6,308.68/9,464.16 = 2,608.90/x
  3. Step 3: Cross multiply
    6,308.68x = 9,464.16 × 2,608.90
  4. Step 4: Simplify right side
    6,308.68x = 24,690,999.70
  5. Step 5: Solve for x
    x = 24,690,999.70/6,308.68
  6. Step 6: Final answer
    x = 3,913.82

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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.