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Finding the Fourth Proportional to 9,200.52, 13,801.24 and 2,627.67

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Solution

The fourth proportional to 9,200.52, 13,801.24 and 2,627.67 is: 3,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.52 : 13,801.24 = 2,627.67 : x
  2. Step 2: Convert to fraction form
    9,200.52/13,801.24 = 2,627.67/x
  3. Step 3: Cross multiply
    9,200.52x = 13,801.24 × 2,627.67
  4. Step 4: Simplify right side
    9,200.52x = 36,265,144.57
  5. Step 5: Solve for x
    x = 36,265,144.57/9,200.52
  6. Step 6: Final answer
    x = 3,941.64

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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.