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Finding the Fourth Proportional to 7,096.73, 9,793.48 and 4,114.29

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Solution

The fourth proportional to 7,096.73, 9,793.48 and 4,114.29 is: 5,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.73 : 9,793.48 = 4,114.29 : x
  2. Step 2: Convert to fraction form
    7,096.73/9,793.48 = 4,114.29/x
  3. Step 3: Cross multiply
    7,096.73x = 9,793.48 × 4,114.29
  4. Step 4: Simplify right side
    7,096.73x = 40,293,227.11
  5. Step 5: Solve for x
    x = 40,293,227.11/7,096.73
  6. Step 6: Final answer
    x = 5,677.72

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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.