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Finding the Fourth Proportional to 9,387.87, 14,083.83 and 2,814.63

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Solution

The fourth proportional to 9,387.87, 14,083.83 and 2,814.63 is: 4,222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.87 : 14,083.83 = 2,814.63 : x
  2. Step 2: Convert to fraction form
    9,387.87/14,083.83 = 2,814.63/x
  3. Step 3: Cross multiply
    9,387.87x = 14,083.83 × 2,814.63
  4. Step 4: Simplify right side
    9,387.87x = 39,640,770.43
  5. Step 5: Solve for x
    x = 39,640,770.43/9,387.87
  6. Step 6: Final answer
    x = 4,222.55

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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.