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Finding the Fourth Proportional to 6,338.48, 9,507.40 and 3,757.84

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Solution

The fourth proportional to 6,338.48, 9,507.40 and 3,757.84 is: 5,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.48 : 9,507.40 = 3,757.84 : x
  2. Step 2: Convert to fraction form
    6,338.48/9,507.40 = 3,757.84/x
  3. Step 3: Cross multiply
    6,338.48x = 9,507.40 × 3,757.84
  4. Step 4: Simplify right side
    6,338.48x = 35,727,288.02
  5. Step 5: Solve for x
    x = 35,727,288.02/6,338.48
  6. Step 6: Final answer
    x = 5,636.57

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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.