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Finding the Fourth Proportional to 6,218.15, 9,326 and 1,834.43

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Solution

The fourth proportional to 6,218.15, 9,326 and 1,834.43 is: 2,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.15 : 9,326 = 1,834.43 : x
  2. Step 2: Convert to fraction form
    6,218.15/9,326 = 1,834.43/x
  3. Step 3: Cross multiply
    6,218.15x = 9,326 × 1,834.43
  4. Step 4: Simplify right side
    6,218.15x = 17,107,847.55
  5. Step 5: Solve for x
    x = 17,107,847.55/6,218.15
  6. Step 6: Final answer
    x = 2,751.28

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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.