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Finding the Fourth Proportional to 9,955.78, 13,738.17 and 5,478.82

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Solution

The fourth proportional to 9,955.78, 13,738.17 and 5,478.82 is: 7,560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.78 : 13,738.17 = 5,478.82 : x
  2. Step 2: Convert to fraction form
    9,955.78/13,738.17 = 5,478.82/x
  3. Step 3: Cross multiply
    9,955.78x = 13,738.17 × 5,478.82
  4. Step 4: Simplify right side
    9,955.78x = 75,268,960.56
  5. Step 5: Solve for x
    x = 75,268,960.56/9,955.78
  6. Step 6: Final answer
    x = 7,560.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.