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Finding the Fourth Proportional to 6,213.76, 9,369.44 and 5,697.20

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Solution

The fourth proportional to 6,213.76, 9,369.44 and 5,697.20 is: 8,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.76 : 9,369.44 = 5,697.20 : x
  2. Step 2: Convert to fraction form
    6,213.76/9,369.44 = 5,697.20/x
  3. Step 3: Cross multiply
    6,213.76x = 9,369.44 × 5,697.20
  4. Step 4: Simplify right side
    6,213.76x = 53,379,573.57
  5. Step 5: Solve for x
    x = 53,379,573.57/6,213.76
  6. Step 6: Final answer
    x = 8,590.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.