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Finding the Fourth Proportional to 6,375.87, 9,553.01 and 3,905.53

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Solution

The fourth proportional to 6,375.87, 9,553.01 and 3,905.53 is: 5,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.87 : 9,553.01 = 3,905.53 : x
  2. Step 2: Convert to fraction form
    6,375.87/9,553.01 = 3,905.53/x
  3. Step 3: Cross multiply
    6,375.87x = 9,553.01 × 3,905.53
  4. Step 4: Simplify right side
    6,375.87x = 37,309,567.15
  5. Step 5: Solve for x
    x = 37,309,567.15/6,375.87
  6. Step 6: Final answer
    x = 5,851.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.