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Finding the Fourth Proportional to 6,945.09, 9,584.23 and 3,801.28

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Solution

The fourth proportional to 6,945.09, 9,584.23 and 3,801.28 is: 5,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.09 : 9,584.23 = 3,801.28 : x
  2. Step 2: Convert to fraction form
    6,945.09/9,584.23 = 3,801.28/x
  3. Step 3: Cross multiply
    6,945.09x = 9,584.23 × 3,801.28
  4. Step 4: Simplify right side
    6,945.09x = 36,432,358.55
  5. Step 5: Solve for x
    x = 36,432,358.55/6,945.09
  6. Step 6: Final answer
    x = 5,245.77

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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.