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Finding the Fourth Proportional to 6,399.16, 9,600.05 and 2,701.39

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Solution

The fourth proportional to 6,399.16, 9,600.05 and 2,701.39 is: 4,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.16 : 9,600.05 = 2,701.39 : x
  2. Step 2: Convert to fraction form
    6,399.16/9,600.05 = 2,701.39/x
  3. Step 3: Cross multiply
    6,399.16x = 9,600.05 × 2,701.39
  4. Step 4: Simplify right side
    6,399.16x = 25,933,479.07
  5. Step 5: Solve for x
    x = 25,933,479.07/6,399.16
  6. Step 6: Final answer
    x = 4,052.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.