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Finding the Fourth Proportional to 6,431.41, 9,647.10 and 4,224.17

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Solution

The fourth proportional to 6,431.41, 9,647.10 and 4,224.17 is: 6,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.41 : 9,647.10 = 4,224.17 : x
  2. Step 2: Convert to fraction form
    6,431.41/9,647.10 = 4,224.17/x
  3. Step 3: Cross multiply
    6,431.41x = 9,647.10 × 4,224.17
  4. Step 4: Simplify right side
    6,431.41x = 40,751,014.52
  5. Step 5: Solve for x
    x = 40,751,014.52/6,431.41
  6. Step 6: Final answer
    x = 6,336.25

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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.