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Finding the Fourth Proportional to 6,481.40, 9,705.90 and 4,278.20

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Solution

The fourth proportional to 6,481.40, 9,705.90 and 4,278.20 is: 6,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.40 : 9,705.90 = 4,278.20 : x
  2. Step 2: Convert to fraction form
    6,481.40/9,705.90 = 4,278.20/x
  3. Step 3: Cross multiply
    6,481.40x = 9,705.90 × 4,278.20
  4. Step 4: Simplify right side
    6,481.40x = 41,523,781.38
  5. Step 5: Solve for x
    x = 41,523,781.38/6,481.40
  6. Step 6: Final answer
    x = 6,406.61

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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.