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Finding the Fourth Proportional to 12,384, 17,090.22 and 6,795

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Solution

The fourth proportional to 12,384, 17,090.22 and 6,795 is: 9,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384 : 17,090.22 = 6,795 : x
  2. Step 2: Convert to fraction form
    12,384/17,090.22 = 6,795/x
  3. Step 3: Cross multiply
    12,384x = 17,090.22 × 6,795
  4. Step 4: Simplify right side
    12,384x = 116,128,044.90
  5. Step 5: Solve for x
    x = 116,128,044.90/12,384
  6. Step 6: Final answer
    x = 9,377.26

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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.