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Finding the Fourth Proportional to 7,096.96, 9,794.24 and 3,953.15

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Solution

The fourth proportional to 7,096.96, 9,794.24 and 3,953.15 is: 5,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.96 : 9,794.24 = 3,953.15 : x
  2. Step 2: Convert to fraction form
    7,096.96/9,794.24 = 3,953.15/x
  3. Step 3: Cross multiply
    7,096.96x = 9,794.24 × 3,953.15
  4. Step 4: Simplify right side
    7,096.96x = 38,718,060.77
  5. Step 5: Solve for x
    x = 38,718,060.77/7,096.96
  6. Step 6: Final answer
    x = 5,455.59

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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.