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Finding the Fourth Proportional to 9,137.09, 13,706.81 and 3,213.56

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Solution

The fourth proportional to 9,137.09, 13,706.81 and 3,213.56 is: 4,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.09 : 13,706.81 = 3,213.56 : x
  2. Step 2: Convert to fraction form
    9,137.09/13,706.81 = 3,213.56/x
  3. Step 3: Cross multiply
    9,137.09x = 13,706.81 × 3,213.56
  4. Step 4: Simplify right side
    9,137.09x = 44,047,571.74
  5. Step 5: Solve for x
    x = 44,047,571.74/9,137.09
  6. Step 6: Final answer
    x = 4,820.75

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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.