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Finding the Fourth Proportional to 6,540.30, 9,786.15 and 3,909.15

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Solution

The fourth proportional to 6,540.30, 9,786.15 and 3,909.15 is: 5,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.30 : 9,786.15 = 3,909.15 : x
  2. Step 2: Convert to fraction form
    6,540.30/9,786.15 = 3,909.15/x
  3. Step 3: Cross multiply
    6,540.30x = 9,786.15 × 3,909.15
  4. Step 4: Simplify right side
    6,540.30x = 38,255,528.27
  5. Step 5: Solve for x
    x = 38,255,528.27/6,540.30
  6. Step 6: Final answer
    x = 5,849.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.