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Finding the Fourth Proportional to 6,410.56, 9,615.84 and 1,793.44

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Solution

The fourth proportional to 6,410.56, 9,615.84 and 1,793.44 is: 2,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.56 : 9,615.84 = 1,793.44 : x
  2. Step 2: Convert to fraction form
    6,410.56/9,615.84 = 1,793.44/x
  3. Step 3: Cross multiply
    6,410.56x = 9,615.84 × 1,793.44
  4. Step 4: Simplify right side
    6,410.56x = 17,245,432.09
  5. Step 5: Solve for x
    x = 17,245,432.09/6,410.56
  6. Step 6: Final answer
    x = 2,690.16

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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.