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Finding the Fourth Proportional to 6,192.08, 9,282 and 2,295.44

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Solution

The fourth proportional to 6,192.08, 9,282 and 2,295.44 is: 3,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.08 : 9,282 = 2,295.44 : x
  2. Step 2: Convert to fraction form
    6,192.08/9,282 = 2,295.44/x
  3. Step 3: Cross multiply
    6,192.08x = 9,282 × 2,295.44
  4. Step 4: Simplify right side
    6,192.08x = 21,306,274.08
  5. Step 5: Solve for x
    x = 21,306,274.08/6,192.08
  6. Step 6: Final answer
    x = 3,440.89

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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.