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Finding the Fourth Proportional to 6,404.20, 9,605.49 and 2,022.10

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Solution

The fourth proportional to 6,404.20, 9,605.49 and 2,022.10 is: 3,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.20 : 9,605.49 = 2,022.10 : x
  2. Step 2: Convert to fraction form
    6,404.20/9,605.49 = 2,022.10/x
  3. Step 3: Cross multiply
    6,404.20x = 9,605.49 × 2,022.10
  4. Step 4: Simplify right side
    6,404.20x = 19,423,261.33
  5. Step 5: Solve for x
    x = 19,423,261.33/6,404.20
  6. Step 6: Final answer
    x = 3,032.89

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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.