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Finding the Fourth Proportional to 6,180.29, 9,270.48 and 4,944.63

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Solution

The fourth proportional to 6,180.29, 9,270.48 and 4,944.63 is: 7,416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.29 : 9,270.48 = 4,944.63 : x
  2. Step 2: Convert to fraction form
    6,180.29/9,270.48 = 4,944.63/x
  3. Step 3: Cross multiply
    6,180.29x = 9,270.48 × 4,944.63
  4. Step 4: Simplify right side
    6,180.29x = 45,839,093.52
  5. Step 5: Solve for x
    x = 45,839,093.52/6,180.29
  6. Step 6: Final answer
    x = 7,416.99

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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.