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Finding the Fourth Proportional to 6,211.44, 9,317.13 and 4,370.78

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Solution

The fourth proportional to 6,211.44, 9,317.13 and 4,370.78 is: 6,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.44 : 9,317.13 = 4,370.78 : x
  2. Step 2: Convert to fraction form
    6,211.44/9,317.13 = 4,370.78/x
  3. Step 3: Cross multiply
    6,211.44x = 9,317.13 × 4,370.78
  4. Step 4: Simplify right side
    6,211.44x = 40,723,078.88
  5. Step 5: Solve for x
    x = 40,723,078.88/6,211.44
  6. Step 6: Final answer
    x = 6,556.14

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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.