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Finding the Fourth Proportional to 6,952.30, 9,594.42 and 3,808.49

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Solution

The fourth proportional to 6,952.30, 9,594.42 and 3,808.49 is: 5,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.30 : 9,594.42 = 3,808.49 : x
  2. Step 2: Convert to fraction form
    6,952.30/9,594.42 = 3,808.49/x
  3. Step 3: Cross multiply
    6,952.30x = 9,594.42 × 3,808.49
  4. Step 4: Simplify right side
    6,952.30x = 36,540,190.37
  5. Step 5: Solve for x
    x = 36,540,190.37/6,952.30
  6. Step 6: Final answer
    x = 5,255.84

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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.