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Finding the Fourth Proportional to 9,612.14, 14,418.21 and 5,257.22

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Solution

The fourth proportional to 9,612.14, 14,418.21 and 5,257.22 is: 7,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.14 : 14,418.21 = 5,257.22 : x
  2. Step 2: Convert to fraction form
    9,612.14/14,418.21 = 5,257.22/x
  3. Step 3: Cross multiply
    9,612.14x = 14,418.21 × 5,257.22
  4. Step 4: Simplify right side
    9,612.14x = 75,799,701.98
  5. Step 5: Solve for x
    x = 75,799,701.98/9,612.14
  6. Step 6: Final answer
    x = 7,885.83

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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.