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Finding the Fourth Proportional to 9,492.62, 14,217.39 and 7,611.96

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Solution

The fourth proportional to 9,492.62, 14,217.39 and 7,611.96 is: 11,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.62 : 14,217.39 = 7,611.96 : x
  2. Step 2: Convert to fraction form
    9,492.62/14,217.39 = 7,611.96/x
  3. Step 3: Cross multiply
    9,492.62x = 14,217.39 × 7,611.96
  4. Step 4: Simplify right side
    9,492.62x = 108,222,257.30
  5. Step 5: Solve for x
    x = 108,222,257.30/9,492.62
  6. Step 6: Final answer
    x = 11,400.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.