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Finding the Fourth Proportional to 9,256.26, 13,880.72 and 3,991.67

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Solution

The fourth proportional to 9,256.26, 13,880.72 and 3,991.67 is: 5,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.26 : 13,880.72 = 3,991.67 : x
  2. Step 2: Convert to fraction form
    9,256.26/13,880.72 = 3,991.67/x
  3. Step 3: Cross multiply
    9,256.26x = 13,880.72 × 3,991.67
  4. Step 4: Simplify right side
    9,256.26x = 55,407,164.24
  5. Step 5: Solve for x
    x = 55,407,164.24/9,256.26
  6. Step 6: Final answer
    x = 5,985.91

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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.