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Finding the Fourth Proportional to 6,947.90, 9,578.22 and 4,293.80

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Solution

The fourth proportional to 6,947.90, 9,578.22 and 4,293.80 is: 5,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.90 : 9,578.22 = 4,293.80 : x
  2. Step 2: Convert to fraction form
    6,947.90/9,578.22 = 4,293.80/x
  3. Step 3: Cross multiply
    6,947.90x = 9,578.22 × 4,293.80
  4. Step 4: Simplify right side
    6,947.90x = 41,126,961.04
  5. Step 5: Solve for x
    x = 41,126,961.04/6,947.90
  6. Step 6: Final answer
    x = 5,919.34

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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.