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Finding the Fourth Proportional to 6,402.72, 9,600.80 and 2,020.56

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Solution

The fourth proportional to 6,402.72, 9,600.80 and 2,020.56 is: 3,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.72 : 9,600.80 = 2,020.56 : x
  2. Step 2: Convert to fraction form
    6,402.72/9,600.80 = 2,020.56/x
  3. Step 3: Cross multiply
    6,402.72x = 9,600.80 × 2,020.56
  4. Step 4: Simplify right side
    6,402.72x = 19,398,992.45
  5. Step 5: Solve for x
    x = 19,398,992.45/6,402.72
  6. Step 6: Final answer
    x = 3,029.80

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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.