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Finding the Fourth Proportional to 12,855.85, 19,285.83 and 3,969.09

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Solution

The fourth proportional to 12,855.85, 19,285.83 and 3,969.09 is: 5,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.85 : 19,285.83 = 3,969.09 : x
  2. Step 2: Convert to fraction form
    12,855.85/19,285.83 = 3,969.09/x
  3. Step 3: Cross multiply
    12,855.85x = 19,285.83 × 3,969.09
  4. Step 4: Simplify right side
    12,855.85x = 76,547,180.11
  5. Step 5: Solve for x
    x = 76,547,180.11/12,855.85
  6. Step 6: Final answer
    x = 5,954.27

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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.