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Finding the Fourth Proportional to 6,245.69, 9,370.97 and 5,735.39

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Solution

The fourth proportional to 6,245.69, 9,370.97 and 5,735.39 is: 8,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.69 : 9,370.97 = 5,735.39 : x
  2. Step 2: Convert to fraction form
    6,245.69/9,370.97 = 5,735.39/x
  3. Step 3: Cross multiply
    6,245.69x = 9,370.97 × 5,735.39
  4. Step 4: Simplify right side
    6,245.69x = 53,746,138.95
  5. Step 5: Solve for x
    x = 53,746,138.95/6,245.69
  6. Step 6: Final answer
    x = 8,605.32

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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.