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Finding the Fourth Proportional to 9,611.24, 13,263.68 and 5,885.24

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Solution

The fourth proportional to 9,611.24, 13,263.68 and 5,885.24 is: 8,121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.24 : 13,263.68 = 5,885.24 : x
  2. Step 2: Convert to fraction form
    9,611.24/13,263.68 = 5,885.24/x
  3. Step 3: Cross multiply
    9,611.24x = 13,263.68 × 5,885.24
  4. Step 4: Simplify right side
    9,611.24x = 78,059,940.08
  5. Step 5: Solve for x
    x = 78,059,940.08/9,611.24
  6. Step 6: Final answer
    x = 8,121.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.