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Finding the Fourth Proportional to 9,274.27, 13,912.27 and 3,034.32

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Solution

The fourth proportional to 9,274.27, 13,912.27 and 3,034.32 is: 4,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.27 : 13,912.27 = 3,034.32 : x
  2. Step 2: Convert to fraction form
    9,274.27/13,912.27 = 3,034.32/x
  3. Step 3: Cross multiply
    9,274.27x = 13,912.27 × 3,034.32
  4. Step 4: Simplify right side
    9,274.27x = 42,214,271.52
  5. Step 5: Solve for x
    x = 42,214,271.52/9,274.27
  6. Step 6: Final answer
    x = 4,551.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.