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Finding the Fourth Proportional to 9,611.92, 14,419.44 and 3,037.63

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Solution

The fourth proportional to 9,611.92, 14,419.44 and 3,037.63 is: 4,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.92 : 14,419.44 = 3,037.63 : x
  2. Step 2: Convert to fraction form
    9,611.92/14,419.44 = 3,037.63/x
  3. Step 3: Cross multiply
    9,611.92x = 14,419.44 × 3,037.63
  4. Step 4: Simplify right side
    9,611.92x = 43,800,836.24
  5. Step 5: Solve for x
    x = 43,800,836.24/9,611.92
  6. Step 6: Final answer
    x = 4,556.93

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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.