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Finding the Fourth Proportional to 6,404.82, 9,608.43 and 2,021.10

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Solution

The fourth proportional to 6,404.82, 9,608.43 and 2,021.10 is: 3,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.82 : 9,608.43 = 2,021.10 : x
  2. Step 2: Convert to fraction form
    6,404.82/9,608.43 = 2,021.10/x
  3. Step 3: Cross multiply
    6,404.82x = 9,608.43 × 2,021.10
  4. Step 4: Simplify right side
    6,404.82x = 19,419,597.87
  5. Step 5: Solve for x
    x = 19,419,597.87/6,404.82
  6. Step 6: Final answer
    x = 3,032.03

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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.