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Finding the Fourth Proportional to 8,942.56, 13,416.23 and 3,099.17

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Solution

The fourth proportional to 8,942.56, 13,416.23 and 3,099.17 is: 4,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.56 : 13,416.23 = 3,099.17 : x
  2. Step 2: Convert to fraction form
    8,942.56/13,416.23 = 3,099.17/x
  3. Step 3: Cross multiply
    8,942.56x = 13,416.23 × 3,099.17
  4. Step 4: Simplify right side
    8,942.56x = 41,579,125.92
  5. Step 5: Solve for x
    x = 41,579,125.92/8,942.56
  6. Step 6: Final answer
    x = 4,649.58

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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.