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Finding the Fourth Proportional to 12,638.73, 17,441.63 and 6,973.73

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Solution

The fourth proportional to 12,638.73, 17,441.63 and 6,973.73 is: 9,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.73 : 17,441.63 = 6,973.73 : x
  2. Step 2: Convert to fraction form
    12,638.73/17,441.63 = 6,973.73/x
  3. Step 3: Cross multiply
    12,638.73x = 17,441.63 × 6,973.73
  4. Step 4: Simplify right side
    12,638.73x = 121,633,096.30
  5. Step 5: Solve for x
    x = 121,633,096.30/12,638.73
  6. Step 6: Final answer
    x = 9,623.84

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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.