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Finding the Fourth Proportional to 6,194.81, 9,293.04 and 1,812.21

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Solution

The fourth proportional to 6,194.81, 9,293.04 and 1,812.21 is: 2,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.81 : 9,293.04 = 1,812.21 : x
  2. Step 2: Convert to fraction form
    6,194.81/9,293.04 = 1,812.21/x
  3. Step 3: Cross multiply
    6,194.81x = 9,293.04 × 1,812.21
  4. Step 4: Simplify right side
    6,194.81x = 16,840,940.02
  5. Step 5: Solve for x
    x = 16,840,940.02/6,194.81
  6. Step 6: Final answer
    x = 2,718.56

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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.