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Finding the Fourth Proportional to 6,410.16, 9,614.56 and 1,729.88

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Solution

The fourth proportional to 6,410.16, 9,614.56 and 1,729.88 is: 2,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.16 : 9,614.56 = 1,729.88 : x
  2. Step 2: Convert to fraction form
    6,410.16/9,614.56 = 1,729.88/x
  3. Step 3: Cross multiply
    6,410.16x = 9,614.56 × 1,729.88
  4. Step 4: Simplify right side
    6,410.16x = 16,632,035.05
  5. Step 5: Solve for x
    x = 16,632,035.05/6,410.16
  6. Step 6: Final answer
    x = 2,594.64

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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.