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Finding the Fourth Proportional to 8,947.26, 13,420.49 and 3,403.22

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Solution

The fourth proportional to 8,947.26, 13,420.49 and 3,403.22 is: 5,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.26 : 13,420.49 = 3,403.22 : x
  2. Step 2: Convert to fraction form
    8,947.26/13,420.49 = 3,403.22/x
  3. Step 3: Cross multiply
    8,947.26x = 13,420.49 × 3,403.22
  4. Step 4: Simplify right side
    8,947.26x = 45,672,795.86
  5. Step 5: Solve for x
    x = 45,672,795.86/8,947.26
  6. Step 6: Final answer
    x = 5,104.67

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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.