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Finding the Fourth Proportional to 12,629.88, 17,429.65 and 6,964.88

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Solution

The fourth proportional to 12,629.88, 17,429.65 and 6,964.88 is: 9,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629.88 : 17,429.65 = 6,964.88 : x
  2. Step 2: Convert to fraction form
    12,629.88/17,429.65 = 6,964.88/x
  3. Step 3: Cross multiply
    12,629.88x = 17,429.65 × 6,964.88
  4. Step 4: Simplify right side
    12,629.88x = 121,395,316.13
  5. Step 5: Solve for x
    x = 121,395,316.13/12,629.88
  6. Step 6: Final answer
    x = 9,611.76

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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.