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Finding the Fourth Proportional to 8,942.75, 13,416.50 and 3,099.35

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Solution

The fourth proportional to 8,942.75, 13,416.50 and 3,099.35 is: 4,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.75 : 13,416.50 = 3,099.35 : x
  2. Step 2: Convert to fraction form
    8,942.75/13,416.50 = 3,099.35/x
  3. Step 3: Cross multiply
    8,942.75x = 13,416.50 × 3,099.35
  4. Step 4: Simplify right side
    8,942.75x = 41,582,362.19
  5. Step 5: Solve for x
    x = 41,582,362.19/8,942.75
  6. Step 6: Final answer
    x = 4,649.84

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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.