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Finding the Fourth Proportional to 6,205.14, 9,304.05 and 2,507.49

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Solution

The fourth proportional to 6,205.14, 9,304.05 and 2,507.49 is: 3,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.14 : 9,304.05 = 2,507.49 : x
  2. Step 2: Convert to fraction form
    6,205.14/9,304.05 = 2,507.49/x
  3. Step 3: Cross multiply
    6,205.14x = 9,304.05 × 2,507.49
  4. Step 4: Simplify right side
    6,205.14x = 23,329,812.33
  5. Step 5: Solve for x
    x = 23,329,812.33/6,205.14
  6. Step 6: Final answer
    x = 3,759.76

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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.