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Finding the Fourth Proportional to 12,628.74, 17,427.23 and 6,963.40

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Solution

The fourth proportional to 12,628.74, 17,427.23 and 6,963.40 is: 9,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,628.74 : 17,427.23 = 6,963.40 : x
  2. Step 2: Convert to fraction form
    12,628.74/17,427.23 = 6,963.40/x
  3. Step 3: Cross multiply
    12,628.74x = 17,427.23 × 6,963.40
  4. Step 4: Simplify right side
    12,628.74x = 121,352,773.38
  5. Step 5: Solve for x
    x = 121,352,773.38/12,628.74
  6. Step 6: Final answer
    x = 9,609.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.