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Finding the Fourth Proportional to 6,780.09, 9,356.27 and 3,947.32

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Solution

The fourth proportional to 6,780.09, 9,356.27 and 3,947.32 is: 5,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.09 : 9,356.27 = 3,947.32 : x
  2. Step 2: Convert to fraction form
    6,780.09/9,356.27 = 3,947.32/x
  3. Step 3: Cross multiply
    6,780.09x = 9,356.27 × 3,947.32
  4. Step 4: Simplify right side
    6,780.09x = 36,932,191.70
  5. Step 5: Solve for x
    x = 36,932,191.70/6,780.09
  6. Step 6: Final answer
    x = 5,447.15

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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.