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Finding the Fourth Proportional to 6,212.72, 9,319.38 and 1,830.22

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Solution

The fourth proportional to 6,212.72, 9,319.38 and 1,830.22 is: 2,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.72 : 9,319.38 = 1,830.22 : x
  2. Step 2: Convert to fraction form
    6,212.72/9,319.38 = 1,830.22/x
  3. Step 3: Cross multiply
    6,212.72x = 9,319.38 × 1,830.22
  4. Step 4: Simplify right side
    6,212.72x = 17,056,515.66
  5. Step 5: Solve for x
    x = 17,056,515.66/6,212.72
  6. Step 6: Final answer
    x = 2,745.42

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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.