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Finding the Fourth Proportional to 6,096.32, 9,145.76 and 1,992

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Solution

The fourth proportional to 6,096.32, 9,145.76 and 1,992 is: 2,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.32 : 9,145.76 = 1,992 : x
  2. Step 2: Convert to fraction form
    6,096.32/9,145.76 = 1,992/x
  3. Step 3: Cross multiply
    6,096.32x = 9,145.76 × 1,992
  4. Step 4: Simplify right side
    6,096.32x = 18,218,353.92
  5. Step 5: Solve for x
    x = 18,218,353.92/6,096.32
  6. Step 6: Final answer
    x = 2,988.42

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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.