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Finding the Fourth Proportional to 6,538.56, 9,024.68 and 4,022.84

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Solution

The fourth proportional to 6,538.56, 9,024.68 and 4,022.84 is: 5,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.56 : 9,024.68 = 4,022.84 : x
  2. Step 2: Convert to fraction form
    6,538.56/9,024.68 = 4,022.84/x
  3. Step 3: Cross multiply
    6,538.56x = 9,024.68 × 4,022.84
  4. Step 4: Simplify right side
    6,538.56x = 36,304,843.69
  5. Step 5: Solve for x
    x = 36,304,843.69/6,538.56
  6. Step 6: Final answer
    x = 5,552.42

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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.