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Finding the Fourth Proportional to 6,344.23, 8,749.25 and 5,447.69

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Solution

The fourth proportional to 6,344.23, 8,749.25 and 5,447.69 is: 7,512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.23 : 8,749.25 = 5,447.69 : x
  2. Step 2: Convert to fraction form
    6,344.23/8,749.25 = 5,447.69/x
  3. Step 3: Cross multiply
    6,344.23x = 8,749.25 × 5,447.69
  4. Step 4: Simplify right side
    6,344.23x = 47,663,193.48
  5. Step 5: Solve for x
    x = 47,663,193.48/6,344.23
  6. Step 6: Final answer
    x = 7,512.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.