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Finding the Fourth Proportional to 6,320.40, 9,481.12 and 3,853.92

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Solution

The fourth proportional to 6,320.40, 9,481.12 and 3,853.92 is: 5,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.40 : 9,481.12 = 3,853.92 : x
  2. Step 2: Convert to fraction form
    6,320.40/9,481.12 = 3,853.92/x
  3. Step 3: Cross multiply
    6,320.40x = 9,481.12 × 3,853.92
  4. Step 4: Simplify right side
    6,320.40x = 36,539,477.99
  5. Step 5: Solve for x
    x = 36,539,477.99/6,320.40
  6. Step 6: Final answer
    x = 5,781.20

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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.