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Finding the Fourth Proportional to 12,295.96, 16,938.79 and 9,777.26

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Solution

The fourth proportional to 12,295.96, 16,938.79 and 9,777.26 is: 13,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.96 : 16,938.79 = 9,777.26 : x
  2. Step 2: Convert to fraction form
    12,295.96/16,938.79 = 9,777.26/x
  3. Step 3: Cross multiply
    12,295.96x = 16,938.79 × 9,777.26
  4. Step 4: Simplify right side
    12,295.96x = 165,614,971.82
  5. Step 5: Solve for x
    x = 165,614,971.82/12,295.96
  6. Step 6: Final answer
    x = 13,469.06

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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.