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Finding the Fourth Proportional to 6,183.54, 9,274.86 and 4,005.99

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Solution

The fourth proportional to 6,183.54, 9,274.86 and 4,005.99 is: 6,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.54 : 9,274.86 = 4,005.99 : x
  2. Step 2: Convert to fraction form
    6,183.54/9,274.86 = 4,005.99/x
  3. Step 3: Cross multiply
    6,183.54x = 9,274.86 × 4,005.99
  4. Step 4: Simplify right side
    6,183.54x = 37,154,996.41
  5. Step 5: Solve for x
    x = 37,154,996.41/6,183.54
  6. Step 6: Final answer
    x = 6,008.69

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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.