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Finding the Fourth Proportional to 9,717.68, 13,410.48 and 5,468.60

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Solution

The fourth proportional to 9,717.68, 13,410.48 and 5,468.60 is: 7,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.68 : 13,410.48 = 5,468.60 : x
  2. Step 2: Convert to fraction form
    9,717.68/13,410.48 = 5,468.60/x
  3. Step 3: Cross multiply
    9,717.68x = 13,410.48 × 5,468.60
  4. Step 4: Simplify right side
    9,717.68x = 73,336,550.93
  5. Step 5: Solve for x
    x = 73,336,550.93/9,717.68
  6. Step 6: Final answer
    x = 7,546.71

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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.