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Finding the Fourth Proportional to 6,194.55, 9,293.37 and 1,812.06

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Solution

The fourth proportional to 6,194.55, 9,293.37 and 1,812.06 is: 2,718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.55 : 9,293.37 = 1,812.06 : x
  2. Step 2: Convert to fraction form
    6,194.55/9,293.37 = 1,812.06/x
  3. Step 3: Cross multiply
    6,194.55x = 9,293.37 × 1,812.06
  4. Step 4: Simplify right side
    6,194.55x = 16,840,144.04
  5. Step 5: Solve for x
    x = 16,840,144.04/6,194.55
  6. Step 6: Final answer
    x = 2,718.54

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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.