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Finding the Fourth Proportional to 6,980.75, 9,633.49 and 3,794.05

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Solution

The fourth proportional to 6,980.75, 9,633.49 and 3,794.05 is: 5,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.75 : 9,633.49 = 3,794.05 : x
  2. Step 2: Convert to fraction form
    6,980.75/9,633.49 = 3,794.05/x
  3. Step 3: Cross multiply
    6,980.75x = 9,633.49 × 3,794.05
  4. Step 4: Simplify right side
    6,980.75x = 36,549,928.87
  5. Step 5: Solve for x
    x = 36,549,928.87/6,980.75
  6. Step 6: Final answer
    x = 5,235.82

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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.