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Finding the Fourth Proportional to 6,947.54, 9,587.74 and 3,803.74

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Solution

The fourth proportional to 6,947.54, 9,587.74 and 3,803.74 is: 5,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.54 : 9,587.74 = 3,803.74 : x
  2. Step 2: Convert to fraction form
    6,947.54/9,587.74 = 3,803.74/x
  3. Step 3: Cross multiply
    6,947.54x = 9,587.74 × 3,803.74
  4. Step 4: Simplify right side
    6,947.54x = 36,469,270.15
  5. Step 5: Solve for x
    x = 36,469,270.15/6,947.54
  6. Step 6: Final answer
    x = 5,249.24

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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.