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Finding the Fourth Proportional to 6,211.90, 9,319.20 and 2,923.20

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Solution

The fourth proportional to 6,211.90, 9,319.20 and 2,923.20 is: 4,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.90 : 9,319.20 = 2,923.20 : x
  2. Step 2: Convert to fraction form
    6,211.90/9,319.20 = 2,923.20/x
  3. Step 3: Cross multiply
    6,211.90x = 9,319.20 × 2,923.20
  4. Step 4: Simplify right side
    6,211.90x = 27,241,885.44
  5. Step 5: Solve for x
    x = 27,241,885.44/6,211.90
  6. Step 6: Final answer
    x = 4,385.44

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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.