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Finding the Fourth Proportional to 9,682.14, 13,363.52 and 6,144.69

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Solution

The fourth proportional to 9,682.14, 13,363.52 and 6,144.69 is: 8,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.14 : 13,363.52 = 6,144.69 : x
  2. Step 2: Convert to fraction form
    9,682.14/13,363.52 = 6,144.69/x
  3. Step 3: Cross multiply
    9,682.14x = 13,363.52 × 6,144.69
  4. Step 4: Simplify right side
    9,682.14x = 82,114,656.99
  5. Step 5: Solve for x
    x = 82,114,656.99/9,682.14
  6. Step 6: Final answer
    x = 8,481.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.