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Finding the Fourth Proportional to 6,308.90, 9,464.35 and 2,149.30

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Solution

The fourth proportional to 6,308.90, 9,464.35 and 2,149.30 is: 3,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.90 : 9,464.35 = 2,149.30 : x
  2. Step 2: Convert to fraction form
    6,308.90/9,464.35 = 2,149.30/x
  3. Step 3: Cross multiply
    6,308.90x = 9,464.35 × 2,149.30
  4. Step 4: Simplify right side
    6,308.90x = 20,341,727.46
  5. Step 5: Solve for x
    x = 20,341,727.46/6,308.90
  6. Step 6: Final answer
    x = 3,224.29

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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.