First, we need to find out how many cakes the baker can decorate in one hour.
If the baker can decorate 5 cakes in 3 hours, then in one hour, he can decorate:
\[ \frac{5 \text{ cakes}}{3 \text{ hours}} = \frac{5}{3} \text{ cakes per hour} \approx 1.67 \text{ cakes per hour} \]
Next, we need to determine how many hours the baker will work in 4 days. Since he works 9 hours each day:
\[ 4 \text{ days} \times 9 \text{ hours/day} = 36 \text{ hours} \]
Now we can find out how many cakes he can decorate in 36 hours:
\[ \frac{5}{3} \text{ cakes/hour} \times 36 \text{ hours} = \frac{5 \times 36}{3} = \frac{180}{3} = 60 \text{ cakes} \]
Thus, the baker can decorate 60 cakes in 4 days working 9 hours each day.
The answer is 60.
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