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Finding the Fourth Proportional to 9,164.60, 13,740.78 and 4,227.56

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Solution

The fourth proportional to 9,164.60, 13,740.78 and 4,227.56 is: 6,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.60 : 13,740.78 = 4,227.56 : x
  2. Step 2: Convert to fraction form
    9,164.60/13,740.78 = 4,227.56/x
  3. Step 3: Cross multiply
    9,164.60x = 13,740.78 × 4,227.56
  4. Step 4: Simplify right side
    9,164.60x = 58,089,971.90
  5. Step 5: Solve for x
    x = 58,089,971.90/9,164.60
  6. Step 6: Final answer
    x = 6,338.52

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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.