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Finding the Fourth Proportional to 12,467.22, 17,204.81 and 6,802.09

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Solution

The fourth proportional to 12,467.22, 17,204.81 and 6,802.09 is: 9,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.22 : 17,204.81 = 6,802.09 : x
  2. Step 2: Convert to fraction form
    12,467.22/17,204.81 = 6,802.09/x
  3. Step 3: Cross multiply
    12,467.22x = 17,204.81 × 6,802.09
  4. Step 4: Simplify right side
    12,467.22x = 117,028,632.04
  5. Step 5: Solve for x
    x = 117,028,632.04/12,467.22
  6. Step 6: Final answer
    x = 9,386.91

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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.