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Finding the Fourth Proportional to 6,781.92, 9,309.12 and 6,019.04

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Solution

The fourth proportional to 6,781.92, 9,309.12 and 6,019.04 is: 8,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.92 : 9,309.12 = 6,019.04 : x
  2. Step 2: Convert to fraction form
    6,781.92/9,309.12 = 6,019.04/x
  3. Step 3: Cross multiply
    6,781.92x = 9,309.12 × 6,019.04
  4. Step 4: Simplify right side
    6,781.92x = 56,031,965.64
  5. Step 5: Solve for x
    x = 56,031,965.64/6,781.92
  6. Step 6: Final answer
    x = 8,261.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.