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Finding the Fourth Proportional to 6,402.45, 9,600.75 and 2,020.20

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Solution

The fourth proportional to 6,402.45, 9,600.75 and 2,020.20 is: 3,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.45 : 9,600.75 = 2,020.20 : x
  2. Step 2: Convert to fraction form
    6,402.45/9,600.75 = 2,020.20/x
  3. Step 3: Cross multiply
    6,402.45x = 9,600.75 × 2,020.20
  4. Step 4: Simplify right side
    6,402.45x = 19,395,435.15
  5. Step 5: Solve for x
    x = 19,395,435.15/6,402.45
  6. Step 6: Final answer
    x = 3,029.38

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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.