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Finding the Fourth Proportional to 6,338.90, 9,505.92 and 3,705.32

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Solution

The fourth proportional to 6,338.90, 9,505.92 and 3,705.32 is: 5,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.90 : 9,505.92 = 3,705.32 : x
  2. Step 2: Convert to fraction form
    6,338.90/9,505.92 = 3,705.32/x
  3. Step 3: Cross multiply
    6,338.90x = 9,505.92 × 3,705.32
  4. Step 4: Simplify right side
    6,338.90x = 35,222,475.49
  5. Step 5: Solve for x
    x = 35,222,475.49/6,338.90
  6. Step 6: Final answer
    x = 5,556.56

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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.