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Finding the Fourth Proportional to 6,410.37, 9,602.79 and 4,212.44

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Solution

The fourth proportional to 6,410.37, 9,602.79 and 4,212.44 is: 6,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.37 : 9,602.79 = 4,212.44 : x
  2. Step 2: Convert to fraction form
    6,410.37/9,602.79 = 4,212.44/x
  3. Step 3: Cross multiply
    6,410.37x = 9,602.79 × 4,212.44
  4. Step 4: Simplify right side
    6,410.37x = 40,451,148.91
  5. Step 5: Solve for x
    x = 40,451,148.91/6,410.37
  6. Step 6: Final answer
    x = 6,310.26

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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.