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Finding the Fourth Proportional to 6,538.14, 9,022.64 and 3,743.64

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Solution

The fourth proportional to 6,538.14, 9,022.64 and 3,743.64 is: 5,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.14 : 9,022.64 = 3,743.64 : x
  2. Step 2: Convert to fraction form
    6,538.14/9,022.64 = 3,743.64/x
  3. Step 3: Cross multiply
    6,538.14x = 9,022.64 × 3,743.64
  4. Step 4: Simplify right side
    6,538.14x = 33,777,516.01
  5. Step 5: Solve for x
    x = 33,777,516.01/6,538.14
  6. Step 6: Final answer
    x = 5,166.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.