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Finding the Fourth Proportional to 9,438.58, 14,153.41 and 2,863.41

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Solution

The fourth proportional to 9,438.58, 14,153.41 and 2,863.41 is: 4,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.58 : 14,153.41 = 2,863.41 : x
  2. Step 2: Convert to fraction form
    9,438.58/14,153.41 = 2,863.41/x
  3. Step 3: Cross multiply
    9,438.58x = 14,153.41 × 2,863.41
  4. Step 4: Simplify right side
    9,438.58x = 40,527,015.73
  5. Step 5: Solve for x
    x = 40,527,015.73/9,438.58
  6. Step 6: Final answer
    x = 4,293.76

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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.