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Finding the Fourth Proportional to 9,355.87, 14,033.49 and 2,782.09

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Solution

The fourth proportional to 9,355.87, 14,033.49 and 2,782.09 is: 4,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.87 : 14,033.49 = 2,782.09 : x
  2. Step 2: Convert to fraction form
    9,355.87/14,033.49 = 2,782.09/x
  3. Step 3: Cross multiply
    9,355.87x = 14,033.49 × 2,782.09
  4. Step 4: Simplify right side
    9,355.87x = 39,042,432.19
  5. Step 5: Solve for x
    x = 39,042,432.19/9,355.87
  6. Step 6: Final answer
    x = 4,173.04

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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.