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Finding the Fourth Proportional to 6,947.15, 9,591.54 and 6,199.83

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Solution

The fourth proportional to 6,947.15, 9,591.54 and 6,199.83 is: 8,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.15 : 9,591.54 = 6,199.83 : x
  2. Step 2: Convert to fraction form
    6,947.15/9,591.54 = 6,199.83/x
  3. Step 3: Cross multiply
    6,947.15x = 9,591.54 × 6,199.83
  4. Step 4: Simplify right side
    6,947.15x = 59,465,917.44
  5. Step 5: Solve for x
    x = 59,465,917.44/6,947.15
  6. Step 6: Final answer
    x = 8,559.76

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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.