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Finding the Fourth Proportional to 6,188.37, 9,286.74 and 2,292.81

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Solution

The fourth proportional to 6,188.37, 9,286.74 and 2,292.81 is: 3,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.37 : 9,286.74 = 2,292.81 : x
  2. Step 2: Convert to fraction form
    6,188.37/9,286.74 = 2,292.81/x
  3. Step 3: Cross multiply
    6,188.37x = 9,286.74 × 2,292.81
  4. Step 4: Simplify right side
    6,188.37x = 21,292,730.34
  5. Step 5: Solve for x
    x = 21,292,730.34/6,188.37
  6. Step 6: Final answer
    x = 3,440.77

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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.