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Finding the Fourth Proportional to 6,183.47, 9,277.78 and 3,409.92

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Solution

The fourth proportional to 6,183.47, 9,277.78 and 3,409.92 is: 5,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.47 : 9,277.78 = 3,409.92 : x
  2. Step 2: Convert to fraction form
    6,183.47/9,277.78 = 3,409.92/x
  3. Step 3: Cross multiply
    6,183.47x = 9,277.78 × 3,409.92
  4. Step 4: Simplify right side
    6,183.47x = 31,636,487.58
  5. Step 5: Solve for x
    x = 31,636,487.58/6,183.47
  6. Step 6: Final answer
    x = 5,116.30

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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.