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Finding the Fourth Proportional to 6,956.22, 10,432.90 and 3,257.44

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Solution

The fourth proportional to 6,956.22, 10,432.90 and 3,257.44 is: 4,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.22 : 10,432.90 = 3,257.44 : x
  2. Step 2: Convert to fraction form
    6,956.22/10,432.90 = 3,257.44/x
  3. Step 3: Cross multiply
    6,956.22x = 10,432.90 × 3,257.44
  4. Step 4: Simplify right side
    6,956.22x = 33,984,545.78
  5. Step 5: Solve for x
    x = 33,984,545.78/6,956.22
  6. Step 6: Final answer
    x = 4,885.49

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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.