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Finding the Fourth Proportional to 9,141.90, 12,611.47 and 5,954.05

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Solution

The fourth proportional to 9,141.90, 12,611.47 and 5,954.05 is: 8,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.90 : 12,611.47 = 5,954.05 : x
  2. Step 2: Convert to fraction form
    9,141.90/12,611.47 = 5,954.05/x
  3. Step 3: Cross multiply
    9,141.90x = 12,611.47 × 5,954.05
  4. Step 4: Simplify right side
    9,141.90x = 75,089,322.95
  5. Step 5: Solve for x
    x = 75,089,322.95/9,141.90
  6. Step 6: Final answer
    x = 8,213.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.