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Finding the Fourth Proportional to 6,084.81, 9,127.20 and 1,467.81

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Solution

The fourth proportional to 6,084.81, 9,127.20 and 1,467.81 is: 2,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.81 : 9,127.20 = 1,467.81 : x
  2. Step 2: Convert to fraction form
    6,084.81/9,127.20 = 1,467.81/x
  3. Step 3: Cross multiply
    6,084.81x = 9,127.20 × 1,467.81
  4. Step 4: Simplify right side
    6,084.81x = 13,396,995.43
  5. Step 5: Solve for x
    x = 13,396,995.43/6,084.81
  6. Step 6: Final answer
    x = 2,201.71

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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.