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Finding the Fourth Proportional to 6,297.62, 9,447.87 and 1,915.70

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Solution

The fourth proportional to 6,297.62, 9,447.87 and 1,915.70 is: 2,873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.62 : 9,447.87 = 1,915.70 : x
  2. Step 2: Convert to fraction form
    6,297.62/9,447.87 = 1,915.70/x
  3. Step 3: Cross multiply
    6,297.62x = 9,447.87 × 1,915.70
  4. Step 4: Simplify right side
    6,297.62x = 18,099,284.56
  5. Step 5: Solve for x
    x = 18,099,284.56/6,297.62
  6. Step 6: Final answer
    x = 2,873.99

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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.