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Finding the Fourth Proportional to 27,846.99, 41,770.49 and 9,378.99

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Solution

The fourth proportional to 27,846.99, 41,770.49 and 9,378.99 is: 14,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.99 : 41,770.49 = 9,378.99 : x
  2. Step 2: Convert to fraction form
    27,846.99/41,770.49 = 9,378.99/x
  3. Step 3: Cross multiply
    27,846.99x = 41,770.49 × 9,378.99
  4. Step 4: Simplify right side
    27,846.99x = 391,764,961.11
  5. Step 5: Solve for x
    x = 391,764,961.11/27,846.99
  6. Step 6: Final answer
    x = 14,068.49

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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.