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Finding the Fourth Proportional to 6,947.40, 9,591.89 and 6,200.08

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Solution

The fourth proportional to 6,947.40, 9,591.89 and 6,200.08 is: 8,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.40 : 9,591.89 = 6,200.08 : x
  2. Step 2: Convert to fraction form
    6,947.40/9,591.89 = 6,200.08/x
  3. Step 3: Cross multiply
    6,947.40x = 9,591.89 × 6,200.08
  4. Step 4: Simplify right side
    6,947.40x = 59,470,485.35
  5. Step 5: Solve for x
    x = 59,470,485.35/6,947.40
  6. Step 6: Final answer
    x = 8,560.11

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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.