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Finding the Fourth Proportional to 12,906.72, 17,811.99 and 9,714.29

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Solution

The fourth proportional to 12,906.72, 17,811.99 and 9,714.29 is: 13,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.72 : 17,811.99 = 9,714.29 : x
  2. Step 2: Convert to fraction form
    12,906.72/17,811.99 = 9,714.29/x
  3. Step 3: Cross multiply
    12,906.72x = 17,811.99 × 9,714.29
  4. Step 4: Simplify right side
    12,906.72x = 173,030,747.28
  5. Step 5: Solve for x
    x = 173,030,747.28/12,906.72
  6. Step 6: Final answer
    x = 13,406.25

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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.