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Finding the Fourth Proportional to 9,954.41, 13,736.32 and 5,705.42

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Solution

The fourth proportional to 9,954.41, 13,736.32 and 5,705.42 is: 7,873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.41 : 13,736.32 = 5,705.42 : x
  2. Step 2: Convert to fraction form
    9,954.41/13,736.32 = 5,705.42/x
  3. Step 3: Cross multiply
    9,954.41x = 13,736.32 × 5,705.42
  4. Step 4: Simplify right side
    9,954.41x = 78,371,391.91
  5. Step 5: Solve for x
    x = 78,371,391.91/9,954.41
  6. Step 6: Final answer
    x = 7,873.04

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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.