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Finding the Fourth Proportional to 9,380.43, 14,073.14 and 2,806.68

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Solution

The fourth proportional to 9,380.43, 14,073.14 and 2,806.68 is: 4,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.43 : 14,073.14 = 2,806.68 : x
  2. Step 2: Convert to fraction form
    9,380.43/14,073.14 = 2,806.68/x
  3. Step 3: Cross multiply
    9,380.43x = 14,073.14 × 2,806.68
  4. Step 4: Simplify right side
    9,380.43x = 39,498,800.58
  5. Step 5: Solve for x
    x = 39,498,800.58/9,380.43
  6. Step 6: Final answer
    x = 4,210.77

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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.