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Finding the Fourth Proportional to 9,568.80, 13,845.60 and 9,568.80

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Solution

The fourth proportional to 9,568.80, 13,845.60 and 9,568.80 is: 13,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.80 : 13,845.60 = 9,568.80 : x
  2. Step 2: Convert to fraction form
    9,568.80/13,845.60 = 9,568.80/x
  3. Step 3: Cross multiply
    9,568.80x = 13,845.60 × 9,568.80
  4. Step 4: Simplify right side
    9,568.80x = 132,485,777.28
  5. Step 5: Solve for x
    x = 132,485,777.28/9,568.80
  6. Step 6: Final answer
    x = 13,845.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.