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Finding the Fourth Proportional to 9,879.93, 13,629.74 and 5,685.75

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Solution

The fourth proportional to 9,879.93, 13,629.74 and 5,685.75 is: 7,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.93 : 13,629.74 = 5,685.75 : x
  2. Step 2: Convert to fraction form
    9,879.93/13,629.74 = 5,685.75/x
  3. Step 3: Cross multiply
    9,879.93x = 13,629.74 × 5,685.75
  4. Step 4: Simplify right side
    9,879.93x = 77,495,265.78
  5. Step 5: Solve for x
    x = 77,495,265.78/9,879.93
  6. Step 6: Final answer
    x = 7,843.71

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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.