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Finding the Fourth Proportional to 6,186.77, 9,281.69 and 3,409.62

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Solution

The fourth proportional to 6,186.77, 9,281.69 and 3,409.62 is: 5,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.77 : 9,281.69 = 3,409.62 : x
  2. Step 2: Convert to fraction form
    6,186.77/9,281.69 = 3,409.62/x
  3. Step 3: Cross multiply
    6,186.77x = 9,281.69 × 3,409.62
  4. Step 4: Simplify right side
    6,186.77x = 31,647,035.86
  5. Step 5: Solve for x
    x = 31,647,035.86/6,186.77
  6. Step 6: Final answer
    x = 5,115.28

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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.