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Finding the Fourth Proportional to 9,200.70, 13,801.53 and 2,627.88

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Solution

The fourth proportional to 9,200.70, 13,801.53 and 2,627.88 is: 3,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.70 : 13,801.53 = 2,627.88 : x
  2. Step 2: Convert to fraction form
    9,200.70/13,801.53 = 2,627.88/x
  3. Step 3: Cross multiply
    9,200.70x = 13,801.53 × 2,627.88
  4. Step 4: Simplify right side
    9,200.70x = 36,268,764.66
  5. Step 5: Solve for x
    x = 36,268,764.66/9,200.70
  6. Step 6: Final answer
    x = 3,941.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.