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Finding the Fourth Proportional to 6,431.60, 9,645.01 and 2,213.66

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Solution

The fourth proportional to 6,431.60, 9,645.01 and 2,213.66 is: 3,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.60 : 9,645.01 = 2,213.66 : x
  2. Step 2: Convert to fraction form
    6,431.60/9,645.01 = 2,213.66/x
  3. Step 3: Cross multiply
    6,431.60x = 9,645.01 × 2,213.66
  4. Step 4: Simplify right side
    6,431.60x = 21,350,791.41
  5. Step 5: Solve for x
    x = 21,350,791.41/6,431.60
  6. Step 6: Final answer
    x = 3,319.67

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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.