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Finding the Fourth Proportional to 6,949.26, 9,594.45 and 6,201.93

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Solution

The fourth proportional to 6,949.26, 9,594.45 and 6,201.93 is: 8,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.26 : 9,594.45 = 6,201.93 : x
  2. Step 2: Convert to fraction form
    6,949.26/9,594.45 = 6,201.93/x
  3. Step 3: Cross multiply
    6,949.26x = 9,594.45 × 6,201.93
  4. Step 4: Simplify right side
    6,949.26x = 59,504,143.27
  5. Step 5: Solve for x
    x = 59,504,143.27/6,949.26
  6. Step 6: Final answer
    x = 8,562.66

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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.