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Finding the Fourth Proportional to 6,213.97, 9,317.73 and 1,830.85

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Solution

The fourth proportional to 6,213.97, 9,317.73 and 1,830.85 is: 2,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.97 : 9,317.73 = 1,830.85 : x
  2. Step 2: Convert to fraction form
    6,213.97/9,317.73 = 1,830.85/x
  3. Step 3: Cross multiply
    6,213.97x = 9,317.73 × 1,830.85
  4. Step 4: Simplify right side
    6,213.97x = 17,059,365.97
  5. Step 5: Solve for x
    x = 17,059,365.97/6,213.97
  6. Step 6: Final answer
    x = 2,745.32

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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.