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Finding the Fourth Proportional to 9,785.63, 13,504.17 and 5,593.97

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Solution

The fourth proportional to 9,785.63, 13,504.17 and 5,593.97 is: 7,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.63 : 13,504.17 = 5,593.97 : x
  2. Step 2: Convert to fraction form
    9,785.63/13,504.17 = 5,593.97/x
  3. Step 3: Cross multiply
    9,785.63x = 13,504.17 × 5,593.97
  4. Step 4: Simplify right side
    9,785.63x = 75,541,854.33
  5. Step 5: Solve for x
    x = 75,541,854.33/9,785.63
  6. Step 6: Final answer
    x = 7,719.68

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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.