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Finding the Fourth Proportional to 6,384.92, 9,577.37 and 2,002.73

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Solution

The fourth proportional to 6,384.92, 9,577.37 and 2,002.73 is: 3,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.92 : 9,577.37 = 2,002.73 : x
  2. Step 2: Convert to fraction form
    6,384.92/9,577.37 = 2,002.73/x
  3. Step 3: Cross multiply
    6,384.92x = 9,577.37 × 2,002.73
  4. Step 4: Simplify right side
    6,384.92x = 19,180,843.34
  5. Step 5: Solve for x
    x = 19,180,843.34/6,384.92
  6. Step 6: Final answer
    x = 3,004.09

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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.