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Finding the Fourth Proportional to 12,629.33, 17,429.49 and 6,965.23

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Solution

The fourth proportional to 12,629.33, 17,429.49 and 6,965.23 is: 9,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629.33 : 17,429.49 = 6,965.23 : x
  2. Step 2: Convert to fraction form
    12,629.33/17,429.49 = 6,965.23/x
  3. Step 3: Cross multiply
    12,629.33x = 17,429.49 × 6,965.23
  4. Step 4: Simplify right side
    12,629.33x = 121,400,406.63
  5. Step 5: Solve for x
    x = 121,400,406.63/12,629.33
  6. Step 6: Final answer
    x = 9,612.58

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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.