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Finding the Fourth Proportional to 9,271.21, 13,906.80 and 3,115.21

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Solution

The fourth proportional to 9,271.21, 13,906.80 and 3,115.21 is: 4,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.21 : 13,906.80 = 3,115.21 : x
  2. Step 2: Convert to fraction form
    9,271.21/13,906.80 = 3,115.21/x
  3. Step 3: Cross multiply
    9,271.21x = 13,906.80 × 3,115.21
  4. Step 4: Simplify right side
    9,271.21x = 43,322,602.43
  5. Step 5: Solve for x
    x = 43,322,602.43/9,271.21
  6. Step 6: Final answer
    x = 4,672.81

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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.