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Finding the Fourth Proportional to 6,202.71, 9,304.36 and 2,504.47

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Solution

The fourth proportional to 6,202.71, 9,304.36 and 2,504.47 is: 3,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.71 : 9,304.36 = 2,504.47 : x
  2. Step 2: Convert to fraction form
    6,202.71/9,304.36 = 2,504.47/x
  3. Step 3: Cross multiply
    6,202.71x = 9,304.36 × 2,504.47
  4. Step 4: Simplify right side
    6,202.71x = 23,302,513.75
  5. Step 5: Solve for x
    x = 23,302,513.75/6,202.71
  6. Step 6: Final answer
    x = 3,756.83

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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.