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Finding the Fourth Proportional to 6,296.72, 8,684.72 and 4,168.48

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Solution

The fourth proportional to 6,296.72, 8,684.72 and 4,168.48 is: 5,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.72 : 8,684.72 = 4,168.48 : x
  2. Step 2: Convert to fraction form
    6,296.72/8,684.72 = 4,168.48/x
  3. Step 3: Cross multiply
    6,296.72x = 8,684.72 × 4,168.48
  4. Step 4: Simplify right side
    6,296.72x = 36,202,081.63
  5. Step 5: Solve for x
    x = 36,202,081.63/6,296.72
  6. Step 6: Final answer
    x = 5,749.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.