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Finding the Fourth Proportional to 6,945.09, 9,584.47 and 3,801.27

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Solution

The fourth proportional to 6,945.09, 9,584.47 and 3,801.27 is: 5,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.09 : 9,584.47 = 3,801.27 : x
  2. Step 2: Convert to fraction form
    6,945.09/9,584.47 = 3,801.27/x
  3. Step 3: Cross multiply
    6,945.09x = 9,584.47 × 3,801.27
  4. Step 4: Simplify right side
    6,945.09x = 36,433,158.28
  5. Step 5: Solve for x
    x = 36,433,158.28/6,945.09
  6. Step 6: Final answer
    x = 5,245.89

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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.