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Finding the Fourth Proportional to 6,986.19, 9,640.91 and 3,842.31

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Solution

The fourth proportional to 6,986.19, 9,640.91 and 3,842.31 is: 5,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.19 : 9,640.91 = 3,842.31 : x
  2. Step 2: Convert to fraction form
    6,986.19/9,640.91 = 3,842.31/x
  3. Step 3: Cross multiply
    6,986.19x = 9,640.91 × 3,842.31
  4. Step 4: Simplify right side
    6,986.19x = 37,043,345.69
  5. Step 5: Solve for x
    x = 37,043,345.69/6,986.19
  6. Step 6: Final answer
    x = 5,302.37

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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.