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Finding the Fourth Proportional to 6,201.93, 9,308.99 and 4,553.82

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Solution

The fourth proportional to 6,201.93, 9,308.99 and 4,553.82 is: 6,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.93 : 9,308.99 = 4,553.82 : x
  2. Step 2: Convert to fraction form
    6,201.93/9,308.99 = 4,553.82/x
  3. Step 3: Cross multiply
    6,201.93x = 9,308.99 × 4,553.82
  4. Step 4: Simplify right side
    6,201.93x = 42,391,464.84
  5. Step 5: Solve for x
    x = 42,391,464.84/6,201.93
  6. Step 6: Final answer
    x = 6,835.21

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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.