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Finding the Fourth Proportional to 6,438.36, 9,657.50 and 4,231.11

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Solution

The fourth proportional to 6,438.36, 9,657.50 and 4,231.11 is: 6,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.36 : 9,657.50 = 4,231.11 : x
  2. Step 2: Convert to fraction form
    6,438.36/9,657.50 = 4,231.11/x
  3. Step 3: Cross multiply
    6,438.36x = 9,657.50 × 4,231.11
  4. Step 4: Simplify right side
    6,438.36x = 40,861,923.67
  5. Step 5: Solve for x
    x = 40,861,923.67/6,438.36
  6. Step 6: Final answer
    x = 6,346.64

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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.