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Finding the Fourth Proportional to 9,400.68, 14,099.04 and 2,824.92

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Solution

The fourth proportional to 9,400.68, 14,099.04 and 2,824.92 is: 4,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.68 : 14,099.04 = 2,824.92 : x
  2. Step 2: Convert to fraction form
    9,400.68/14,099.04 = 2,824.92/x
  3. Step 3: Cross multiply
    9,400.68x = 14,099.04 × 2,824.92
  4. Step 4: Simplify right side
    9,400.68x = 39,828,660.08
  5. Step 5: Solve for x
    x = 39,828,660.08/9,400.68
  6. Step 6: Final answer
    x = 4,236.79

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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.