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Finding the Fourth Proportional to 12,371.06, 17,073.15 and 6,783.14

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Solution

The fourth proportional to 12,371.06, 17,073.15 and 6,783.14 is: 9,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.06 : 17,073.15 = 6,783.14 : x
  2. Step 2: Convert to fraction form
    12,371.06/17,073.15 = 6,783.14/x
  3. Step 3: Cross multiply
    12,371.06x = 17,073.15 × 6,783.14
  4. Step 4: Simplify right side
    12,371.06x = 115,809,609.37
  5. Step 5: Solve for x
    x = 115,809,609.37/12,371.06
  6. Step 6: Final answer
    x = 9,361.33

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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.