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Finding the Fourth Proportional to 9,270.69, 12,793.46 and 5,734.23

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Solution

The fourth proportional to 9,270.69, 12,793.46 and 5,734.23 is: 7,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.69 : 12,793.46 = 5,734.23 : x
  2. Step 2: Convert to fraction form
    9,270.69/12,793.46 = 5,734.23/x
  3. Step 3: Cross multiply
    9,270.69x = 12,793.46 × 5,734.23
  4. Step 4: Simplify right side
    9,270.69x = 73,360,613.46
  5. Step 5: Solve for x
    x = 73,360,613.46/9,270.69
  6. Step 6: Final answer
    x = 7,913.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.