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Finding the Fourth Proportional to 6,269.28, 9,447.97 and 5,645.34

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Solution

The fourth proportional to 6,269.28, 9,447.97 and 5,645.34 is: 8,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.28 : 9,447.97 = 5,645.34 : x
  2. Step 2: Convert to fraction form
    6,269.28/9,447.97 = 5,645.34/x
  3. Step 3: Cross multiply
    6,269.28x = 9,447.97 × 5,645.34
  4. Step 4: Simplify right side
    6,269.28x = 53,337,002.96
  5. Step 5: Solve for x
    x = 53,337,002.96/6,269.28
  6. Step 6: Final answer
    x = 8,507.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.