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Finding the Fourth Proportional to 9,200.68, 13,801.46 and 2,627.32

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Solution

The fourth proportional to 9,200.68, 13,801.46 and 2,627.32 is: 3,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.68 : 13,801.46 = 2,627.32 : x
  2. Step 2: Convert to fraction form
    9,200.68/13,801.46 = 2,627.32/x
  3. Step 3: Cross multiply
    9,200.68x = 13,801.46 × 2,627.32
  4. Step 4: Simplify right side
    9,200.68x = 36,260,851.89
  5. Step 5: Solve for x
    x = 36,260,851.89/9,200.68
  6. Step 6: Final answer
    x = 3,941.11

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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.