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Finding the Fourth Proportional to 6,205.78, 9,302.47 and 2,506.92

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Solution

The fourth proportional to 6,205.78, 9,302.47 and 2,506.92 is: 3,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.78 : 9,302.47 = 2,506.92 : x
  2. Step 2: Convert to fraction form
    6,205.78/9,302.47 = 2,506.92/x
  3. Step 3: Cross multiply
    6,205.78x = 9,302.47 × 2,506.92
  4. Step 4: Simplify right side
    6,205.78x = 23,320,548.09
  5. Step 5: Solve for x
    x = 23,320,548.09/6,205.78
  6. Step 6: Final answer
    x = 3,757.88

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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.