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Finding the Fourth Proportional to 6,906.87, 9,538.02 and 4,550.31

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Solution

The fourth proportional to 6,906.87, 9,538.02 and 4,550.31 is: 6,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.87 : 9,538.02 = 4,550.31 : x
  2. Step 2: Convert to fraction form
    6,906.87/9,538.02 = 4,550.31/x
  3. Step 3: Cross multiply
    6,906.87x = 9,538.02 × 4,550.31
  4. Step 4: Simplify right side
    6,906.87x = 43,400,947.79
  5. Step 5: Solve for x
    x = 43,400,947.79/6,906.87
  6. Step 6: Final answer
    x = 6,283.74

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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.