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Finding the Fourth Proportional to 9,200.70, 13,801.05 and 8,544.60

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Solution

The fourth proportional to 9,200.70, 13,801.05 and 8,544.60 is: 12,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.70 : 13,801.05 = 8,544.60 : x
  2. Step 2: Convert to fraction form
    9,200.70/13,801.05 = 8,544.60/x
  3. Step 3: Cross multiply
    9,200.70x = 13,801.05 × 8,544.60
  4. Step 4: Simplify right side
    9,200.70x = 117,924,451.83
  5. Step 5: Solve for x
    x = 117,924,451.83/9,200.70
  6. Step 6: Final answer
    x = 12,816.90

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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.