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Finding the Fourth Proportional to 6,338.90, 9,500.43 and 4,375.46

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Solution

The fourth proportional to 6,338.90, 9,500.43 and 4,375.46 is: 6,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.90 : 9,500.43 = 4,375.46 : x
  2. Step 2: Convert to fraction form
    6,338.90/9,500.43 = 4,375.46/x
  3. Step 3: Cross multiply
    6,338.90x = 9,500.43 × 4,375.46
  4. Step 4: Simplify right side
    6,338.90x = 41,568,751.45
  5. Step 5: Solve for x
    x = 41,568,751.45/6,338.90
  6. Step 6: Final answer
    x = 6,557.72

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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.