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Finding the Fourth Proportional to 7,096.94, 9,793.68 and 3,953.15

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Solution

The fourth proportional to 7,096.94, 9,793.68 and 3,953.15 is: 5,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.94 : 9,793.68 = 3,953.15 : x
  2. Step 2: Convert to fraction form
    7,096.94/9,793.68 = 3,953.15/x
  3. Step 3: Cross multiply
    7,096.94x = 9,793.68 × 3,953.15
  4. Step 4: Simplify right side
    7,096.94x = 38,715,886.09
  5. Step 5: Solve for x
    x = 38,715,886.09/7,096.94
  6. Step 6: Final answer
    x = 5,455.29

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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.