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Finding the Fourth Proportional to 9,879.68, 13,634.52 and 5,688.56

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Solution

The fourth proportional to 9,879.68, 13,634.52 and 5,688.56 is: 7,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.68 : 13,634.52 = 5,688.56 : x
  2. Step 2: Convert to fraction form
    9,879.68/13,634.52 = 5,688.56/x
  3. Step 3: Cross multiply
    9,879.68x = 13,634.52 × 5,688.56
  4. Step 4: Simplify right side
    9,879.68x = 77,560,785.09
  5. Step 5: Solve for x
    x = 77,560,785.09/9,879.68
  6. Step 6: Final answer
    x = 7,850.54

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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.