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Finding the Fourth Proportional to 9,271.08, 13,906.46 and 3,115.08

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Solution

The fourth proportional to 9,271.08, 13,906.46 and 3,115.08 is: 4,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.08 : 13,906.46 = 3,115.08 : x
  2. Step 2: Convert to fraction form
    9,271.08/13,906.46 = 3,115.08/x
  3. Step 3: Cross multiply
    9,271.08x = 13,906.46 × 3,115.08
  4. Step 4: Simplify right side
    9,271.08x = 43,319,735.42
  5. Step 5: Solve for x
    x = 43,319,735.42/9,271.08
  6. Step 6: Final answer
    x = 4,672.57

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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.