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Finding the Fourth Proportional to 6,445.20, 9,662.22 and 3,842.67

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Solution

The fourth proportional to 6,445.20, 9,662.22 and 3,842.67 is: 5,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.20 : 9,662.22 = 3,842.67 : x
  2. Step 2: Convert to fraction form
    6,445.20/9,662.22 = 3,842.67/x
  3. Step 3: Cross multiply
    6,445.20x = 9,662.22 × 3,842.67
  4. Step 4: Simplify right side
    6,445.20x = 37,128,722.93
  5. Step 5: Solve for x
    x = 37,128,722.93/6,445.20
  6. Step 6: Final answer
    x = 5,760.68

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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.