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Finding the Fourth Proportional to 6,278.35, 9,425.73 and 5,310.61

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Solution

The fourth proportional to 6,278.35, 9,425.73 and 5,310.61 is: 7,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.35 : 9,425.73 = 5,310.61 : x
  2. Step 2: Convert to fraction form
    6,278.35/9,425.73 = 5,310.61/x
  3. Step 3: Cross multiply
    6,278.35x = 9,425.73 × 5,310.61
  4. Step 4: Simplify right side
    6,278.35x = 50,056,376.00
  5. Step 5: Solve for x
    x = 50,056,376.00/6,278.35
  6. Step 6: Final answer
    x = 7,972.86

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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.