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Finding the Fourth Proportional to 9,568.72, 13,201.24 and 7,056.83

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Solution

The fourth proportional to 9,568.72, 13,201.24 and 7,056.83 is: 9,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.72 : 13,201.24 = 7,056.83 : x
  2. Step 2: Convert to fraction form
    9,568.72/13,201.24 = 7,056.83/x
  3. Step 3: Cross multiply
    9,568.72x = 13,201.24 × 7,056.83
  4. Step 4: Simplify right side
    9,568.72x = 93,158,906.47
  5. Step 5: Solve for x
    x = 93,158,906.47/9,568.72
  6. Step 6: Final answer
    x = 9,735.78

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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.