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Finding the Fourth Proportional to 6,989.09, 9,644.97 and 3,802.38

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Solution

The fourth proportional to 6,989.09, 9,644.97 and 3,802.38 is: 5,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.09 : 9,644.97 = 3,802.38 : x
  2. Step 2: Convert to fraction form
    6,989.09/9,644.97 = 3,802.38/x
  3. Step 3: Cross multiply
    6,989.09x = 9,644.97 × 3,802.38
  4. Step 4: Simplify right side
    6,989.09x = 36,673,841.03
  5. Step 5: Solve for x
    x = 36,673,841.03/6,989.09
  6. Step 6: Final answer
    x = 5,247.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.