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Finding the Fourth Proportional to 12,628.65, 17,427.67 and 6,963.41

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Solution

The fourth proportional to 12,628.65, 17,427.67 and 6,963.41 is: 9,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,628.65 : 17,427.67 = 6,963.41 : x
  2. Step 2: Convert to fraction form
    12,628.65/17,427.67 = 6,963.41/x
  3. Step 3: Cross multiply
    12,628.65x = 17,427.67 × 6,963.41
  4. Step 4: Simplify right side
    12,628.65x = 121,356,011.55
  5. Step 5: Solve for x
    x = 121,356,011.55/12,628.65
  6. Step 6: Final answer
    x = 9,609.58

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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.