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Finding the Fourth Proportional to 11,954.89, 17,937.32 and 6,406.81

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Solution

The fourth proportional to 11,954.89, 17,937.32 and 6,406.81 is: 9,612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.89 : 17,937.32 = 6,406.81 : x
  2. Step 2: Convert to fraction form
    11,954.89/17,937.32 = 6,406.81/x
  3. Step 3: Cross multiply
    11,954.89x = 17,937.32 × 6,406.81
  4. Step 4: Simplify right side
    11,954.89x = 114,920,969.12
  5. Step 5: Solve for x
    x = 114,920,969.12/11,954.89
  6. Step 6: Final answer
    x = 9,612.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.