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Finding the Fourth Proportional to 7,086.69, 9,781.83 and 4,847.72

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Solution

The fourth proportional to 7,086.69, 9,781.83 and 4,847.72 is: 6,691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.69 : 9,781.83 = 4,847.72 : x
  2. Step 2: Convert to fraction form
    7,086.69/9,781.83 = 4,847.72/x
  3. Step 3: Cross multiply
    7,086.69x = 9,781.83 × 4,847.72
  4. Step 4: Simplify right side
    7,086.69x = 47,419,524.02
  5. Step 5: Solve for x
    x = 47,419,524.02/7,086.69
  6. Step 6: Final answer
    x = 6,691.35

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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.