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Finding the Fourth Proportional to 9,182.34, 13,770.06 and 2,940.70

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Solution

The fourth proportional to 9,182.34, 13,770.06 and 2,940.70 is: 4,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.34 : 13,770.06 = 2,940.70 : x
  2. Step 2: Convert to fraction form
    9,182.34/13,770.06 = 2,940.70/x
  3. Step 3: Cross multiply
    9,182.34x = 13,770.06 × 2,940.70
  4. Step 4: Simplify right side
    9,182.34x = 40,493,615.44
  5. Step 5: Solve for x
    x = 40,493,615.44/9,182.34
  6. Step 6: Final answer
    x = 4,409.95

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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.