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Finding the Fourth Proportional to 12,638.85, 17,441.78 and 6,973.83

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Solution

The fourth proportional to 12,638.85, 17,441.78 and 6,973.83 is: 9,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.85 : 17,441.78 = 6,973.83 : x
  2. Step 2: Convert to fraction form
    12,638.85/17,441.78 = 6,973.83/x
  3. Step 3: Cross multiply
    12,638.85x = 17,441.78 × 6,973.83
  4. Step 4: Simplify right side
    12,638.85x = 121,635,973.75
  5. Step 5: Solve for x
    x = 121,635,973.75/12,638.85
  6. Step 6: Final answer
    x = 9,623.97

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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.