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Finding the Fourth Proportional to 12,039.46, 16,614.21 and 6,734.32

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Solution

The fourth proportional to 12,039.46, 16,614.21 and 6,734.32 is: 9,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,039.46 : 16,614.21 = 6,734.32 : x
  2. Step 2: Convert to fraction form
    12,039.46/16,614.21 = 6,734.32/x
  3. Step 3: Cross multiply
    12,039.46x = 16,614.21 × 6,734.32
  4. Step 4: Simplify right side
    12,039.46x = 111,885,406.69
  5. Step 5: Solve for x
    x = 111,885,406.69/12,039.46
  6. Step 6: Final answer
    x = 9,293.22

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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.