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Finding the Fourth Proportional to 6,335.92, 9,505.50 and 5,114.44

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Solution

The fourth proportional to 6,335.92, 9,505.50 and 5,114.44 is: 7,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.92 : 9,505.50 = 5,114.44 : x
  2. Step 2: Convert to fraction form
    6,335.92/9,505.50 = 5,114.44/x
  3. Step 3: Cross multiply
    6,335.92x = 9,505.50 × 5,114.44
  4. Step 4: Simplify right side
    6,335.92x = 48,615,309.42
  5. Step 5: Solve for x
    x = 48,615,309.42/6,335.92
  6. Step 6: Final answer
    x = 7,672.97

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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.