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Finding the Fourth Proportional to 6,192.16, 9,288.24 and 3,112

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Solution

The fourth proportional to 6,192.16, 9,288.24 and 3,112 is: 4,668

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.16 : 9,288.24 = 3,112 : x
  2. Step 2: Convert to fraction form
    6,192.16/9,288.24 = 3,112/x
  3. Step 3: Cross multiply
    6,192.16x = 9,288.24 × 3,112
  4. Step 4: Simplify right side
    6,192.16x = 28,905,002.88
  5. Step 5: Solve for x
    x = 28,905,002.88/6,192.16
  6. Step 6: Final answer
    x = 4,668

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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.