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Finding the Fourth Proportional to 6,993.27, 9,650.34 and 4,008.96

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Solution

The fourth proportional to 6,993.27, 9,650.34 and 4,008.96 is: 5,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.27 : 9,650.34 = 4,008.96 : x
  2. Step 2: Convert to fraction form
    6,993.27/9,650.34 = 4,008.96/x
  3. Step 3: Cross multiply
    6,993.27x = 9,650.34 × 4,008.96
  4. Step 4: Simplify right side
    6,993.27x = 38,687,827.05
  5. Step 5: Solve for x
    x = 38,687,827.05/6,993.27
  6. Step 6: Final answer
    x = 5,532.15

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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.