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Finding the Fourth Proportional to 6,392.27, 9,590.37 and 3,274.47

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Solution

The fourth proportional to 6,392.27, 9,590.37 and 3,274.47 is: 4,912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.27 : 9,590.37 = 3,274.47 : x
  2. Step 2: Convert to fraction form
    6,392.27/9,590.37 = 3,274.47/x
  3. Step 3: Cross multiply
    6,392.27x = 9,590.37 × 3,274.47
  4. Step 4: Simplify right side
    6,392.27x = 31,403,378.85
  5. Step 5: Solve for x
    x = 31,403,378.85/6,392.27
  6. Step 6: Final answer
    x = 4,912.72

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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.