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Finding the Fourth Proportional to 6,336.13, 8,743.57 and 3,647.14

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Solution

The fourth proportional to 6,336.13, 8,743.57 and 3,647.14 is: 5,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.13 : 8,743.57 = 3,647.14 : x
  2. Step 2: Convert to fraction form
    6,336.13/8,743.57 = 3,647.14/x
  3. Step 3: Cross multiply
    6,336.13x = 8,743.57 × 3,647.14
  4. Step 4: Simplify right side
    6,336.13x = 31,889,023.89
  5. Step 5: Solve for x
    x = 31,889,023.89/6,336.13
  6. Step 6: Final answer
    x = 5,032.89

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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.