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Finding the Fourth Proportional to 6,323.43, 9,472.82 and 3,852.12

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Solution

The fourth proportional to 6,323.43, 9,472.82 and 3,852.12 is: 5,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.43 : 9,472.82 = 3,852.12 : x
  2. Step 2: Convert to fraction form
    6,323.43/9,472.82 = 3,852.12/x
  3. Step 3: Cross multiply
    6,323.43x = 9,472.82 × 3,852.12
  4. Step 4: Simplify right side
    6,323.43x = 36,490,420.12
  5. Step 5: Solve for x
    x = 36,490,420.12/6,323.43
  6. Step 6: Final answer
    x = 5,770.67

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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.