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Finding the Fourth Proportional to 6,186.97, 8,537.64 and 3,669.32

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Solution

The fourth proportional to 6,186.97, 8,537.64 and 3,669.32 is: 5,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.97 : 8,537.64 = 3,669.32 : x
  2. Step 2: Convert to fraction form
    6,186.97/8,537.64 = 3,669.32/x
  3. Step 3: Cross multiply
    6,186.97x = 8,537.64 × 3,669.32
  4. Step 4: Simplify right side
    6,186.97x = 31,327,333.20
  5. Step 5: Solve for x
    x = 31,327,333.20/6,186.97
  6. Step 6: Final answer
    x = 5,063.44

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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.